Lecture 24 - ( 29 ( 29 = - for a perturbation of the form t...

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: ( 29 ( 29 = - for a perturbation of the form t AF t h ( 29 ( 29 ( 29 ( 29 = - + ' 2 the response function is given by t ' ' t B t t F t O F ( 29 ( 29 ( 29 - = = t B F where e t i ( 29 ( 29 = g in the classical limit A t B t ( 29 - = 1 4 ( 29 = + 2 2 2 " 4 1 =- + + 2 2 2 2 2 1 1 1 t i ( 29 ( 29 ( 29 ( 29 = = = max ~ 0 " =small as ' 1 for , " " in the limit of , " ( 29 ( 29 ( 29 = = 0 ' 0 =conts. as ' and in the limit of , ' 1 ( 29 = + + 2 2 2 1 ' 4 1 1 ( 29 ( 29 { = Re( ) since " all absorption occurs for in the range of the dipole correlation function ! ABSORPTION COEFFICIENT c n ( 29 ( 29 ( 29 ( 29 - = and =1+4 t t e dt i ( 29 ( 29 ( 29 ( 29 ( 29 = +- '- " 1 4 ' " i i ( 29 ( 29 ( 29 - = and considering that t is an odd funtion of t, 4 " 2 t t e dt i i ( 29 ( 29 = +- 1 4 ' 4 " i ( 29 ( 29 { } = h 1 we also recall that t , z z Tr t i ( 29 ( 29 ( 29 { } =- h 1 t z z z z Tr t t i ( 29 ( 29 ( 29 { } - =- h 1 " 2 t z z z z Tr t t e dt i i i ( 29 ( 29 -- =...
View Full Document

This note was uploaded on 05/29/2011 for the course CHM 6461 taught by Professor Bowers during the Spring '08 term at University of Florida.

Page1 / 12

Lecture 24 - ( 29 ( 29 = - for a perturbation of the form t...

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