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Rutgers | PHYSICS 417
Professors
- Amitabh Lath
38 sample documents related to PHYSICS 417
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Rutgers PHYSICS 417
Physics 417 Intermediate Quantum Mechanics Midterm Exam Date: 10/24/2012 There are 4 problems. Do all of them. Show all your work. Cross things out neatly, DO NOT ERASE. This is a closed textbook exam. You are allowed one sheet of 8.5\" 11\" paper with your -
Rutgers PHYSICS 417
Physics 417 Intermediate Quantum Mechanics Midterm Exam Date: 10/26/2011 There are 4 problems. Do all of them. Show all your work. Cross things out neatly, DO NOT ERASE. This is a closed textbook exam. You are allowed one sheet of 8.5\" 11\" paper with your -
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Rutgers PHYSICS 417
Physics 417 Intermediate Quantum Mechanics Final Exam Date: 12/19/2012 There are 6 problems. Do all of them. Show all your work. Cross things out neatly, DO NOT ERASE. This is a closed textbook exam. You are allowed one sheet of 8.5 11 paper with your not -
Rutgers PHYSICS 417
Physics 417 Intermediate Quantum Mechanics Final Exam Date: 12/21/2011 There are 6 problems. Do all of them. Show all your work. Cross things out neatly, DO NOT ERASE. This is a closed textbook exam. You are allowed one sheet of 8.5 11 paper with your not -
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Rutgers PHYSICS 417
q 2.7 (a) l= ^ J kf,F.o){3= nf/zh\'t\'re,+JFbcryl ,JF lrrl ct2 =LA= :) A E- # 2-_ *\'sWI ffi,rol Ecf,n) = \'#( rl4cr).etfur t+I( r,tL* ) [Q.r,o I * c1\"l + ( thl\'+ t{tt\'t(q ?1\')1.* d#J) 1ri,2f*n) *r,);^L*^) +,ifu^\'C*o) r i^[ e77*?tS*1 [q, e,Eo+ \\ -
Rutgers PHYSICS 417
,r- ubs?rr\' = q 2,7 e ) Pr, lc,t-:- lnrc\\\' *W4 trc=/:@ r dr <E>: I\'En Err,r,!?^ 48 n=fz7,Fr \" t \'\"i ywkL \\*a,. = \'6-\" ft ffi t 6/ M\'- 6 \\ .Y;n^a;- [flrl i> tt\'L ,) ->-\' \"ft :4 .g \'/ffif w3 -
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Rutgers PHYSICS 417
l,t+ E^ ) = ?orCt) \\tJ 5:lzbcfr,t2 r @r ,rtv tu -tI -vaE \\/!\\5+ ,Qt# - L\'{t\' f - -\'r\',\'n\'- f Vrnt L .e fi,s\'n v(a9(s re_: ^T^ff\'% -#^ycx) 9 -*L 2-vrt, r#l f+q$u \\\"rt -f\" ^R L .E*ild - f$q: L *[-t}.d ta.nf. o oo rl\\ d(aL dt -
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Rutgers PHYSICS 417
t\' \\8 Ftkr( L1+;- cAr)+;\"\' 9 *1 Lba a- Le{trcr r.,o-fr-at?o.,\\ Lf tc,\"l ) = Af Iar\'^Lt) (-r-,*1La = # (L,wrfr I (4}l(Lt\"nt*.t lq_ *^tt) Ltr*,rI Lr Lr \\ g*,^| ) -/ (l-,.^ t ;=- Lu: G\"Lz L, T \\ K!J!-+t) - tntr,n\'+ tn-^ : lAl^\\- q t,>o Us -
Rutgers PHYSICS 417
+ Formula Sheet + x= Z 2 m a Ca , p = i 1 2 , a, a = 1 Zm 2 aK , a n = a n C1 n C1 and a n = n nK 1 H = Z aa C L G = Lx GiLy, and L G l, m = Z l l C1 Km m G1 v * v iZ J x, t = K 2m vx vx * l, m G1 1. (15 pts) Consider a particle in an inf -
Rutgers PHYSICS 417
\\4\'tq, | L, Ej \' th\"._z rto J,eS -fz- E, ^ rrt t4tA+e a ^A cL Fncrea;eg [.^torlLL n ) E\" =-f a-s f ^ proacL5 4? \"7 Lu o*r*ll \' beca,.se_ re_q_s o^en \\ 7 Penetrat,oq rn6 dnu k c[as?c^(y 6dzAJ.ar7?oru or , 4 @ B\"d\' t/\" e!a.ir.s b -
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Rutgers PHYSICS 417
1. A spin-1/2 particle at rest in a uniform magnetic field pointing in the z-direction is described by the Hamiltonian: . (a) (2 pts) Write down the matrix describing this Hamiltonian: our basis is the standard | and | . (b) (2 pts) If, at t = 0, mea -
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Rutgers PHYSICS 417
\\4\'tq, | L, Ej \' th\"._z rto J,eS -fz- E, ^ rrt t4tA+e a ^A cL Fncrea;eg [.^torlLL n ) E\" =-f a-s f ^ proacL5 4? \"7 Lu o*r*ll \' beca,.se_ re_q_s o^en \\ 7 Penetrat,oq rn6 dnu k c[as?c^(y 6dzAJ.ar7?oru or , 4 @ B\"d\' t/\" e!a.ir.s b\"trJe-en noJ. -
Rutgers PHYSICS 417
+ Formula Sheet + x= Z 2 m a Ca , p = i 1 2 , a, a = 1 Zm 2 aK , a n = a n C1 n C1 and a n = n nK 1 H = Z aa C L G = Lx GiLy, and L G l, m = Z l l C1 Km m G1 v * v iZ J x, t = K 2m vx vx * l, m G1 1. (15 pts) Consider a particle in an infinite well shown
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