lec29 - MIT OpenCourseWare http://ocw.mit.edu 8.044...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 8.044 Statistical Physics I Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . Wavefunctions, One Particle s are the variables. r and r, H ( s ) Hamiltonian p, n is a state index and could Wavefunction n ( s ) r, have several parts. For an e in hydrogen = n,l,m l ,m s ( s ) r, p, r, r, r, H ( s ) n ( s ) = E n n ( s ) 8.044 L29B1 n ( s ) often factors into space and spin parts. r, s ) = space r ) spin r, n ( n ( n ( s ) space ( x ) e x 2 / 2 H n ( x ) H.O. in 1 dimension n r ) e k space ( i r free particle in 3 dimensions n 8.044 L29B2 spin s ) n ( Spin is an angular momentum so for a given value of the magnitude S there are 2 S +1 values of m S . For the case of S = 1 / 2 the eigenfunctions of the z s are 1 / 2 ( s ) component of s ) and 1 / 2 ( h S z 1 / 2 ( s ) s ) = 1 / 2 ( 2 h S z 1 / 2 ( s ) s ) = 1 / 2 ( 2 8.044 L29B3...
View Full Document

This note was uploaded on 11/08/2011 for the course PHYSICS 8.004 taught by Professor Staff during the Spring '08 term at MIT.

Page1 / 11

lec29 - MIT OpenCourseWare http://ocw.mit.edu 8.044...

This preview shows document pages 1 - 5. Sign up to view the full document.

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