31 Pages

ps12

Course: P 651, Fall 2009
School: Cornell
Rating:
 
 
 
 
 

Word Count: 19419

Document Preview

%%Creator: %!PS-Adobe-2.0 dvips(k) 5.92b Copyright 2002 Radical Eye Software %%Title: ps12.dvi %%Pages: 1 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentFonts: CMR10 CMBX12 CMR12 CMTI10 CMSY10 CMBX10 CMMI10 CMR7 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -o ps.ps ps12 %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2006.11.22:1035 %%BeginProcSet: texc.pro %!...

Register Now

Unformatted Document Excerpt

Coursehero >> New York >> Cornell >> P 651

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
%%Creator: %!PS-Adobe-2.0 dvips(k) 5.92b Copyright 2002 Radical Eye Software %%Title: ps12.dvi %%Pages: 1 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentFonts: CMR10 CMBX12 CMR12 CMTI10 CMSY10 CMBX10 CMMI10 CMR7 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -o ps.ps ps12 %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2006.11.22:1035 %%BeginProcSet: texc.pro %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3 1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{ rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B /chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{ /cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{ A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse} ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17 {2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{ 1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop} forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: psfrag.pro %% %% This is file `psfrag.pro', %% generated with the docstrip utility. %% %% The original source files were: %% %% psfrag.dtx (with options: `filepro') %% %% Copyright (c) 1996 Craig Barratt, Michael C. Grant, and David Carlisle. %% All rights reserved. %% %% This file is part of the PSfrag package. %% userdict begin /PSfragLib 90 dict def /PSfragDict 6 dict def /PSfrag { PSfragLib begin load exec end } bind def end PSfragLib begin /RO /readonly load def /CP /currentpoint load def /CM /currentmatrix load def /B { bind RO def } bind def /X { exch def } B /MD { { X } forall } B /OE { end exec PSfragLib begin } B /S false def /tstr 8 string def /islev2 { languagelevel } stopped { false } { 2 ge } ifelse def [ /sM /tM /srcM /dstM /dM /idM /srcFM /dstFM ] { matrix def } forall sM currentmatrix RO pop dM defaultmatrix RO idM invertmatrix RO pop srcFM identmatrix pop /Hide { gsave { CP } stopped not newpath clip { moveto } if } B /Unhide { { CP } stopped not grestore { moveto } if } B /setrepl islev2 {{ /glob currentglobal def true setglobal array astore globaldict exch /PSfrags exch put glob setglobal }} {{ array astore /PSfrags X }} ifelse B /getrepl islev2 {{ globaldict /PSfrags get aload length }} {{ PSfrags aload length }} ifelse B /convert { /src X src length string /c 0 def src length { dup c src c get dup 32 lt { pop 32 } if put /c c 1 add def } repeat } B /Begin { } B /End { mark { currentdict end dup PSfragDict eq { pop exit } if } loop counttomark { begin } repeat pop getrepl saver restore 7 idiv dup /S exch dict def { 6 array astore /mtrx X tstr cvs /K X S K [ S K known { S K get aload pop } if mtrx ] put } repeat } B /Place { tstr cvs /K X S K known { bind /proc X tM CM pop CP /cY X /cX X 0 0 transform idtransform neg /aY X neg /aX X S K get dup length /maxiter X /iter 1 def { iter maxiter ne { /saver save def } if tM setmatrix aX aY translate [ exch aload pop idtransform ] concat cX neg cY neg translate cX cY moveto /proc load OE iter maxiter ne { saver restore /iter iter 1 add def } if } forall /noXY { CP /cY X /cX X } stopped def tM setmatrix noXY { newpath } { cX cY moveto } ifelse } { Hide OE Unhide } ifelse } B /normalize { 2 index dup mul 2 index dup mul add sqrt div dup 4 -1 roll exch mul 3 1 roll mul } B /replace { aload pop MD CP /bY X /lX X gsave sM setmatrix str stringwidth abs exch abs add dup 0 eq { pop } { 360 exch div dup scale } ifelse lX neg bY neg translate newpath lX bY moveto str { /ch X ( ) dup 0 ch put false charpath ch Kproc } forall flattenpath pathbbox [ /uY /uX /lY /lX ] MD CP grestore moveto currentfont /FontMatrix get dstFM copy dup 0 get 0 lt { uX lX /uX X /lX X } if 3 get 0 lt { uY lY /uY X /lY X } if /cX uX lX add 0.5 mul def /cY uY lY add 0.5 mul def debugMode { gsave 0 setgray 1 setlinewidth lX lY moveto lX uY lineto uX uY lineto uX lY lineto closepath lX bY moveto uX bY lineto lX cY moveto uX cY lineto /saver save def srcFM exch 3 exch put 0 ne /debugMode X 0 setrepl dup /S exch dict def { S 3 1 roll exch convert exch put } repeat srcM CM dup invertmatrix pop mark { currentdict { end } stopped { pop exit } if } loop PSfragDict counttomark { begin } repeat pop } B /Rif { S 3 index convert known { pop replace } { exch pop OE } ifelse } B /XA { bind [ /Kproc /str } B /XC { ] 2 array astore def } B /xs { pop } XA XC /xks { /kern load OE } XA /kern XC /xas { pop ax ay rmoveto } XA /ay /ax XC /xws { c eq { cx cy rmoveto } if } XA /c /cy /cx XC /xaws { ax ay rmoveto c eq { cx cy rmoveto } if } XA /ay /ax /c /cy /cx XC /raws { xaws { awidthshow } Rif } B /rws { xws { widthshow } Rif } B /rks { xks { kshow } Rif } B /ras { xas { ashow } Rif } B /rs { xs { show } Rif } B /rrs { getrepl dup 2 add -1 roll //restore exec setrepl } B PSfragDict begin islev2 not { /restore { /rrs PSfrag } B } if /show { /rs PSfrag } B /kshow { /rks PSfrag } B /ashow { /ras PSfrag } B /widthshow { /rws PSfrag } B /awidthshow { /raws PSfrag } B end PSfragDict RO pop end %%EndProcSet %%BeginProcSet: f7b6d320.enc % Thomas Esser, Dec 2002. public domain % % Encoding for: % cmb10 cmbx10 cmbx12 cmbx5 cmbx6 cmbx7 cmbx8 cmbx9 cmbxsl10 % cmdunh10 cmr10 cmr12 cmr17cmr6 cmr7 cmr8 cmr9 cmsl10 cmsl12 cmsl8 % cmsl9 cmss10cmss12 cmss17 cmss8 cmss9 cmssbx10 cmssdc10 cmssi10 % cmssi12 cmssi17 cmssi8cmssi9 cmssq8 cmssqi8 cmvtt10 cX lY moveto cX uY lineto stroke grestore } if dstFM dup invertmatrix dstM CM srcM 2 { dstM concatmatrix } repeat pop getrepl /temp X S str convert get { aload pop [ /rot /scl /loc /K ] MD /aX cX def /aY cY def loc { dup 66 eq { /aY bY def } { % B dup 98 eq { /aY lY def } { % b dup 108 eq { /aX lX def } { % l dup 114 eq { /aX uX def } { % r dup 116 eq { /aY uY def } % t if } ifelse } ifelse } ifelse } ifelse pop } forall K srcFM rot tM rotate dstM 2 { tM concatmatrix } repeat aload pop pop pop 2 { scl normalize 4 2 roll } repeat aX aY transform /temp temp 7 add def } forall temp setrepl % /TeXf7b6d320Encoding [ /Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega /ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute /caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE /OE /Oslash /suppress /exclam /quotedblright /numbersign /dollar /percent /ampersand /quoteright /parenleft /parenright /asterisk /plus /comma /hyphen /period /slash /zero /one /two /three /four /five /six /seven /eight /nine /colon /semicolon /exclamdown /equal /questiondown /question /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /quotedblleft /bracketright /circumflex /dotaccent /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u /v /w /x /y /z /endash /emdash /hungarumlaut /tilde /dieresis /suppress /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space /Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef /.notdef /Omega /ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute /caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE /OE /Oslash /suppress /dieresis /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] def %%EndProcSet %%BeginProcSet: 74afc74c.enc % Thomas Esser, Dec 2002. public domain % % Encoding for: % cmbxti10 cmff10 cmfi10 cmfib8 cmti10 cmti12 cmti7 cmti8cmti9 cmu10 % /TeX74afc74cEncoding [ /Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega /ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute /caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE /OE /Oslash /suppress /exclam /quotedblright /numbersign /sterling /percent /ampersand /quoteright /parenleft /parenright /asterisk /plus /comma /hyphen /period /slash /zero /one /two /three /four /five /six /seven /eight /nine /colon /semicolon /exclamdown /equal /questiondown /question /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /quotedblleft /bracketright /circumflex /dotaccent /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u /v /w /x /y /z /endash /emdash /hungarumlaut /tilde /dieresis /suppress /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space /Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef /.notdef /Omega /ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute /caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE /OE /Oslash /suppress /dieresis /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] def /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef %%EndProcSet %%BeginProcSet: bbad153f.enc % Thomas Esser, Dec 2002. public domain % % Encoding for: % cmsy10 cmsy5 cmsy6 cmsy7 cmsy8 cmsy9 % /TeXbbad153fEncoding [ /minus /periodcentered /multiply /asteriskmath /divide /diamondmath /plusminus /minusplus /circleplus /circleminus /circlemultiply /circledivide /circledot /circlecopyrt /openbullet /bullet /equivasymptotic /equivalence /reflexsubset /reflexsuperset /lessequal /greaterequal /precedesequal /followsequal /similar /approxequal /propersubset /propersuperset /lessmuch /greatermuch /precedes /follows /arrowleft /arrowright /arrowup /arrowdown /arrowboth /arrownortheast /arrowsoutheast /similarequal /arrowdblleft /arrowdblright /arrowdblup /arrowdbldown /arrowdblboth /arrownorthwest /arrowsouthwest /proportional /prime /infinity /element /owner /triangle /triangleinv /negationslash /mapsto /universal /existential /logicalnot /emptyset /Rfractur /Ifractur /latticetop /perpendicular /aleph /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /union /intersection /unionmulti /logicaland /logicalor /turnstileleft /turnstileright /floorleft /floorright /ceilingleft /ceilingright /braceleft /braceright /angbracketleft /angbracketright /bar /bardbl /arrowbothv /arrowdblbothv /backslash /wreathproduct /radical /coproduct /nabla /integral /unionsq /intersectionsq /subsetsqequal /supersetsqequal /section /dagger /daggerdbl /paragraph /club /diamond /heart /spade /arrowleft /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /minus /periodcentered /multiply /asteriskmath /divide /diamondmath /plusminus /minusplus /circleplus /circleminus /.notdef /.notdef /circlemultiply /circledivide /circledot /circlecopyrt /openbullet /bullet /equivasymptotic /equivalence /reflexsubset /reflexsuperset /lessequal /greaterequal /precedesequal /followsequal /similar /approxequal /propersubset /propersuperset /lessmuch /greatermuch /precedes /follows /arrowleft /spade /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] def %%EndProcSet %%BeginProcSet: aae443f0.enc % Thomas Esser, Dec 2002. public domain % % Encoding for: % cmmi10 cmmi12 cmmi5 cmmi6 cmmi7 cmmi8 cmmi9 cmmib10 % /TeXaae443f0Encoding [ /Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega /alpha /beta /gamma /delta /epsilon1 /zeta /eta /theta /iota /kappa /lambda /mu /nu /xi /pi /rho /sigma /tau /upsilon /phi /chi /psi /omega /epsilon /theta1 /pi1 /rho1 /sigma1 /phi1 /arrowlefttophalf /arrowleftbothalf /arrowrighttophalf /arrowrightbothalf /arrowhookleft /arrowhookright /triangleright /triangleleft /zerooldstyle /oneoldstyle /twooldstyle /threeoldstyle /fouroldstyle /fiveoldstyle /sixoldstyle /sevenoldstyle /eightoldstyle /nineoldstyle /period /comma /less /slash /greater /star /partialdiff /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /flat /natural /sharp /slurbelow /slurabove /lscript /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u /v /w /x /y /z /dotlessi /dotlessj /weierstrass /vector /tie /psi /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space /Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef /.notdef /Omega /alpha /beta /gamma /delta /epsilon1 /zeta /eta /theta /iota /kappa /lambda /mu /nu /xi /pi /rho /sigma /tau /upsilon /phi /chi /psi /tie /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] def %%EndProcSet %%BeginProcSet: texps.pro %! TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2 index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0 ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{ pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type /nametype eq{exit}if exch pop}loop}ifelse[2 index currentdict end definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[ exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}if} forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}def end %%EndProcSet %%BeginProcSet: special.pro %! TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N /vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N /rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N /@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{ /hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B /@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{ /urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known {userdict/md get type/dicttype eq{userdict begin md length 10 add md maxlength ge{/md md dup length 20 add dict copy def}if end md begin /letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{ itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack} if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 -1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{ noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr 2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 -1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{ Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale }if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState save N userdict maxlength dict begin/magscale true def normalscale currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts /psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def @MacSetUp}N/doclip{psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N /@beginspecial{SDict begin/SpecialSave save N gsave normalscale currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N} N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N /setpagedevice{pop}N/copypage{}N newpath}N/@endspecial{count ocount sub{ pop}repeat countdictstack dcount sub{end}repeat grestore SpecialSave restore end}N/@defspecial{SDict begin}N/@fedspecial{end}B/li{lineto}B /rl{rlineto}B/rc{rcurveto}B/np{/SaveX currentpoint/SaveY X N 1 setlinecap newpath}N/st{stroke SaveX SaveY moveto}N/fil{fill SaveX SaveY moveto}N/ellipse{/endangle X/startangle X/yrad X/xrad X/savematrix matrix currentmatrix N TR xrad yrad scale 0 0 1 startangle endangle arc savematrix setmatrix}N end %%EndProcSet %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX10 %!PS-AdobeFont-1.1: CMBX10 1.00B %%CreationDate: 1992 Feb 19 19:54:06 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-301 -250 1164 946}readonly def /UniqueID 5000768 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueID 5000820 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.1: CMTI10 1.00B %%CreationDate: 1992 Feb 19 19:56:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-163 -250 1146 969}readonly def /UniqueID 5000828 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-34 -251 988 750}readonly def /UniqueID 5000794 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-53 -251 1139 750}readonly def /UniqueID 5000769 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec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

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Cornell - P - 651
Cornell University Department of Physics Phys 651 November 22, 2006Relativistic Quantum Field Theory, Fall 2006 Homework Assignment # 12(Due Wednesday, November 29, after the lecture.) Lectures and Reading Assignments: Readings are from An Introdu
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: Organization.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMBX12 CMR12 CMTT12 CMTI12 %EndComments %DVIPSWebPage: (www.radi
Cornell - P - 443
Physics 443M. Neubert, S.J. LeeCourse OrganizationSpring 2006Lectures and Section Lectures are 9:059:55 am on Monday, Wednesday and Friday in 110 Rockefeller. Section meetings are 3:354:25 pm on Friday in 231 Rockefeller. The instructor of the
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: qmintro.dvi %Pages: 4 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips qmintro -o qmintro.ps %DVI
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: PS1.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMR12 CMMI12 CMEX10 CMR8 CMSY10 CMMI8 %+ CMSY8 CMR6 CMTI12 %EndComments %
Cornell - P - 443
Physics 443 Problem Set 1M. Neubert, S.J. Lee(due February 1)Spring 20061. The relation between frequency and wave length in a cavity is () = c2 2 - 0,0 = const.Using that = 2 and k = 2/, find the dispersion relation (k). What are the
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: PS2.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMR12 CMMI12 CMEX10 CMSY10 CMMI8 CMR8 %+ CMSY8 CMTI12 %EndComments %DVIPS
Cornell - P - 443
Physics 443 Problem Set 2M. Neubert, S.J. Lee(due February 8)Spring 20061. Solve the time-independent Schrdinger equation for a centered infinite square well o with an attractive -function potential in the center: V (x) = -c (x) ; if -a < x <
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: PS3.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMR12 CMMI12 CMSY10 CMEX10 CMMI8 CMSY8 %+ CMR8 CMTI12 %EndComments %DVIPS
Cornell - P - 443
Physics 443 Problem Set 3M. Neubert, S.J. Lee(due February 15)Spring 20061. Find expressions for the operators p and x in the momentum representation. For ^ ^ an arbitrary state in Hilbert space, evaluate the brackets p|^| and |^| in x x term
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: PS4.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMR12 CMTI12 CMSY10 CMMI12 CMMI8 CMR8 %+ CMSY8 CMMIB10 CMEX10 CMR7 CMR10
Cornell - P - 443
Physics 443 Problem Set 4M. Neubert, S.J. Lee(due February 22)Spring 20061. a) For the one-dimensional harmonic oscillator, show that a coherent state of the form | N exp(^+ )|0 awith arbitrary complex (and N a normalization factor) is an
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: Prelim1.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMR12 CMMI12 CMSY10 CMR8 CMEX10 CMMI8 %+ CMMIB10 CMBX12 CMSY8 %EndCom
Cornell - P - 443
Physics 443 Preliminary Exam 1M. Neubert, S.J. Lee(February 23)Spring 20061. Write down the time-dependent Schrdinger equation for a free particle in the o momentum representation, where the wave function is (p, t) = p|(t) . Solve this equatio
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: Prelim1_Solutions.dvi %Pages: 4 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMR12 CMMI12 CMSY10 CMR8 CMBX12 CMEX10 %+ CMSY8 CMMI8 CMR6
Cornell - P - 443
Physics 443 Preliminary Exam 1 SolutionsM. Neubert, S.J. Lee(February 23)Spring 20061. Write down the time-dependent Schrdinger equation for a free particle in the o momentum representation, where the wave function is (p, t) = p|(t) . Solve t
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: PS5.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMR12 CMMI12 CMSY10 CMMI8 CMSY8 CMR8 %+ CMEX10 CMR6 CMMIB10 CMTI12 CMSY6
Cornell - P - 443
Physics 443 Problem Set 5M. Neubert, S.J. Lee(due March 1)Spring 20061. The eigenfunctions of the hydrogen atom corresponding to maximal angular momentum (l = n - 1) are n,n-1,m (r, , ) = 1 (2n)! 2 na3 22r nan-1m e-r/na Yn-1 (, ) ,whe
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: PS6.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips PS6 -o PS6.ps %DVIPSParameters
Cornell - P - 443
4 F 8 @ 4 8 @ 8 4 @ 8 YHG2YEBs zYD92FACBs%A92 k g 6 4 2 kj j lj j g g `cWjnh ) w753mnn`hmsfm}m`8ryl0 $& ' 1v( $& % s $& % ) "# P ( "# "# 0! s ' j i k j g ns}8h}hmAm u o j i i j j j i i
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: PS7.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMR12 CMR8 CMMIB10 CMSY10 CMEX10 CMMI12 %+ CMMI8 CMSY8 CMTI12 %EndComment
Cornell - P - 443
Physics 443 Problem Set 7M. Neubert, S.J. Lee(due March 15)Spring 20061 1. For a particle with spin 2 , construct the matrix n S representing the component of spin along a direction n parameterized in terms of spherical coordinates,sin cos
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: PS8.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMR12 CMMI12 CMR8 CMMIB10 CMSY10 CMMI8 %+ CMSY8 CMEX10 CMTI12 %EndComment
Cornell - P - 443
Physics 443 Problem Set 8M. Neubert, S.J. Lee(due March 29)Spring 20061. A system consisting of two particles with spins s1 and s2 is governed by the potential V = V1 (r) + V2 (r) s1 s2 + V3 (r) L S , where r = |r 1 - r2 |, L is the orbital
Cornell - P - 443
Physics 443 Problem Set 9M. Neubert, S.J. Lee(due April 5)Spring 20061. The ClebschGordan coefficients for the addition of orbital angular momentum 1 l = 0 and spin s = 2 to total spin j = l 1 can be written as 21 1 |jmj = A |l(mj - 2 ) | 2
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: PS10.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMR12 CMBX12 CMMI12 CMEX10 CMSY10 CMSY8 %+ CMR8 CMMI8 CMTI12 %EndComment
Cornell - P - 443
Physics 443 Problem Set 10M. Neubert, S.J. Lee(due April 12)Spring 20061. The fundamental problem in harnessing nuclear fusion is getting two nuclei close enough together for the attractive (but short-range) nuclear force to overcome the Coulo
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: Prelim2.dvi %Pages: 3 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMR12 CMMI12 CMMIB10 CMSY10 CMR8 CMMI8 %+ CMR6 CMMI6 CMSY8 CMEX10 CMT
Cornell - P - 443
Physics 443 Preliminary Exam 2M. Neubert, S.J. Lee(April 4)Spring 20061. The Hamiltonian for a particle of charge q in an electro-magnetic field is H= 1 (p - qA(r, t)2 + q (r, t) . 2mThe scalar and vector potentials, and A, determine the el
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %Title: Prelim2_Solutions.dvi %Pages: 6 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSS17 CMSS12 CMR12 CMMI12 CMMIB10 CMSY10 CMR8 CMMI8 %+ CMR6 CMMI6 CMBX12
Cornell - P - 443
Physics 443 Preliminary Exam 2 SolutionsM. Neubert, S.J. Lee(April 4)Spring 20061. The Hamiltonian for a particle of charge q in an electro-magnetic field is H= 1 (p - qA(r, t)2 + q (r, t) . 2mThe scalar and vector potentials, and A, deter
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: PS11.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips PS11 -o PS11.ps %DVIPSParamet
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: PS12.dvi %Pages: 3 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips PS12 -o PS12.ps %DVIPSParamet
Cornell - P - 443
~ I h k ~ ~ rdx h h k fv@ xjhxnssdjajdxddjfsd{krjvxlc%sddxhsxsjuhlsS o i o o p h k t l e k t qt n kh i ht p nk eot h it o l ih ko t ith y l t ith i h i h q o e p q w iht p xdxkvxedjdxkjfvddhkjfvchlj
Cornell - P - 443
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: PS13.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips PS13 -o PS13.ps %DVIPSParamet
Cornell - P - 651
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: intro.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMSSI12 CMSS9 CMSS8 CMSY7 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSComma
Cornell - P - 651
Relativistic Quantum Field Theory(Physics 651)Mon & Wed: 8:40 am 9:55 am Rockefeller 112This course will provide a modern introduction to relativistic quantum field theory - a subject most working physicists need to know about. The course is int
Cornell - P - 651
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: Organization.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips Organization -o Organ
Cornell - P - 651
# " 7vg6| " 54V3zw ( x 0 )# " |2|1$vg!| "riV' ( w x y x { xx { } x x 9~2&zyz2xzVz$y1~2VzzxiVdg$yi9 2d$V~{ zizP`i2~{Ve`VzP{zzxiV$~|yz2yi~{V$zP{2Pd x yx x x { x yx x
Berkeley - EE - 232
EE 232 Lightwave Devices Lecture 13: Rate Equations and Dynamic Response of Semiconductor LasersReading: Chuang, Sec. 11.1 11 2 Chuang Sec 11 1 11.2 (See also Coldren, Sec. 5.1 5.3) (The Notes follow primarily Coldrens book) Instructor: Ming C. Wu
Berkeley - EE - 232
EE 232 Lightwave Devices Lecture 17: Polarization DependenceReading: Chuang, Sec. 4.1-4.2, 9 5 Chuang Sec 4 1 4 2 9.5 (There is also a good discussion in Coldren, Appendix 8 and 10) Instructor: Ming C. Wu University of California, Berkeley Electrica
Berkeley - EE - 232
EE 232 Lightwave Devices Lecture 21: Light-Emitting Diode (LED)Instructor: Ming C. Wu University of California, Berkeley Electrical Engineering and Computer Sciences Dept Dept.EE232 Lecture 21-12008. University of CaliforniaSpontaneous Emissi
Cornell - HMWK - 661
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: intro.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: /usr/bin/dvips -G0 -z -o intro.ps
Cornell - HMWK - 661
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: cont.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %DocumentFonts: CMBX12 CMR12 CMMI12 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine:
Cornell - HMWK - 661
P661 Superstring Theory Fall 2004 Lecture contents (last updated 11/01/04) : 08/26 Introduction to the bosonic string theory.08/31 First quantization of the bosonic string and the appearance of the critical spacetime dimension D = 26 and the gravit
Cornell - HMWK - 661
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: h1.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %DocumentFonts: CMBX12 CMR12 CMMI12 CMSY8 CMR8 CMMI8 CMSY10 CMEX10 %EndComments %DVIPSWebPage: (www.radic
Cornell - HMWK - 661
P661 Homework # 1 Due Tuesday 9/7/04 Read Polchinski Ch 1.8/26/04Read Johnson Ch. 1 and earlier parts of Ch. 2. Part 1 (1) Problem 1.2 (2) For the lightest spin-2 closed string mode to be massless, what is the spacetime dimension and what is the
Cornell - HMWK - 661
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: h2.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %DocumentFonts: CMBX12 CMR12 CMMI12 CMSY8 CMR8 CMSY10 CMMI8 CMEX10 %EndComments %DVIPSWebPage: (www.radic
Cornell - HMWK - 661
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: h3.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %DocumentFonts: CMBX12 CMR12 CMMI8 CMMI12 CMR8 CMSY8 CMSY10 CMEX10 %+ CMBX8 CMR6 CMMI6 %EndComments %DVIP
Cornell - HMWK - 661
P661 Homework # 3 Due Tuesday 9/21/0409/09/04Read Chapter 2. Homework problems in this chapter will be given in the next homework set. The Jacobi Theta functions i (z, ) are a canonical set of natural analytic functions of the torus. Here we are
Cornell - HMWK - 661
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: h4.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %DocumentFonts: CMBX12 CMR12 CMMI12 CMSY10 CMMI8 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSC
Cornell - HMWK - 661
P661 Homework # 4 Due Tuesday 9/28/04 Finish reading Chapter 2. Part 1 (1) Problem 2.109/16/04Show this result by starting with the standard 2-dimensional Poisson equation. Find the Coulomb potential. Verify Coulomb's law. Now write the Poisson e
Cornell - HMWK - 661
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: h5.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %DocumentFonts: CMBX12 CMR12 CMMI12 CMSY10 CMR8 CMSY8 CMMI8 CMEX10 CMR6 %EndComments %DVIPSWebPage: (www.
Cornell - HMWK - 661
P661 Homework # 5 Due Tuesday 10/05/0409/23/04Briey read Chapter 3. A careful reading of this chapter is reserved for Part II. Part 1 (1) Look at Eq.(3.5.6) (forget about c here). Consider a closed string N-point M-loop scattering amplitude. What
Cornell - HMWK - 661
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: h6.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %DocumentFonts: CMBX12 CMR12 CMMI12 CMSY10 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommand
Cornell - HMWK - 661
P661 Homework # 6 Due Tuesday 10/19/04 Read Chapter 8. Part 1 (1) Do Problems 1.5 to 1.9. Part 2:10/07/04(2) Bosonize the bc ghost system and verify the background charge (i.e., the coefficient of the second derivative term in T (z) in the linear
Cornell - HMWK - 661
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: h7.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %DocumentFonts: CMBX12 CMR12 CMMI12 CMR8 CMSY8 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCom
Cornell - HMWK - 661
P661 Homework # 7 Due Tuesday 10/26/04 Finish reading Chapter 8. Part 110/14/04(1) In class, we constructed the T 2 /Z2 orbifold. For a torus with a Z3 symmetry, we find that T 2 /Z2 is a tetrahedron, with the topology of a sphere. What is the sh
Cornell - HMWK - 661
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: h8.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %DocumentFonts: CMBX12 CMR12 CMMI12 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: /
Cornell - HMWK - 661
P661 Homework # 8 Due Tuesday 11/2/0410/21/04Read Chapter 10 up to p.37. Type I theory will be saved for later. Part 1 (1) Try to understand the content of the 3 tables. (2) If you are not familiar with SO(N ) representations, you may want to con
Cornell - HMWK - 661
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: h9.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %DocumentFonts: CMBX12 CMR12 CMMI12 CMR8 CMSY10 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCo