phy246s11_hw1sol

phy246s11_hw1sol - (*), and (p) t ,h@) is an eigenfunction...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Physics 246 First Homework Set 1. S,rppose that the oscillator energy (i."., E _ A I p l" +B I r l" where A,B,o,,r are classical statistical mechanics. How would the distribution be affected by such a change? 2. Consider the system with Hamiltonian Due: January 28, 2011 the Hamiltonian) is replaced bY positive constants. Compute tr in Rayleigh.Jeans blackbody spectral H_ fif+v(") where . fo o V(*)- { 1oo r a) Show that where n - 1,,2,,,. . b) Calculate L'p c) Now consider ,h@)- and again compute Lp and 3:' A particle of mass m in an infinite square well proportional to sins ffi ,os ffi. a) What is the ,h@,t) for all t b) What are the
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (*), and (p) t ,h@) is an eigenfunction of H. What is the eigenvalue? and L,r and compare with the uncertainty principle.- n Llz {., Atr. has a wave function at time t - $ \r :..,'.::,=t--.==. .'-''L--_K*@'_-?.=- L) L^ v- L-aye{t-/-\-,4l. - ' ,- t A, / Mfr,WYI J-,4 ^"IL L t-;l--r; -=4*iS-*+ € It /, TfK\ : 4-( ,l=--CA,- ? \rflt\h V \-'' l- ) 0(x 4 ..a.LC43o,3< T--+- Y;l\'/ | on" / 4r, ,l < fI= gra;i .t'* L* E.*st{i,^ry:; rsl k- gr,turt *o -***/*5+*+.o;5f .-- i I L,t-1 --.aL \ 'aa lrl%* -,------ = ! 14' 2^' .: i-Allw-:--- r-==-/-i. \ I- 1.5- r* i[;v-----{-iZ...
View Full Document

This document was uploaded on 03/23/2011.

Page1 / 7

phy246s11_hw1sol - (*), and (p) t ,h@) is an eigenfunction...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online