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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  =...
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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.
 Spring '08
 Bowers

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