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Unformatted text preview: satises the anticommutation relations { ( ~x ) , ( ~ y ) } = ( ~x~ y ) , { ( ~x ) , ( ~ y ) } = { ( ~x ) , ( ~ y ) } = 0 . Let us specialize a twoparticle state  i Z d 3 ~x 1 d 3 ~x 2 ( t,~x 1 ,~x 2 ) ( ~x 1 ) ( ~x 2 )  i , where is just a function (not an operator). (a) Show that obeys the FermiDirac statistics, i.e., ( t,~x 2 ,~x 1 ) = ( t,~x 1 ,~x 2 ). (b) Show that obeys a twoparticle Schrodinger equation i t ( t,~x 1 ,~x 2 ) = 1 2 m 2 x 11 2 m 2 x 2 + V ( ~x 1~x 2 ) ( t,~x 1 ,~x 2 ) . To receive full credit, be sure to keep track of minus signs associated with the FermiDirac statistics in your calculations. 1...
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This note was uploaded on 12/14/2011 for the course PHY 5667 taught by Professor Okui during the Fall '10 term at FSU.
 Fall '10
 Okui

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