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Chapter7_17 - PHY3063 R D Field Department of Physics...

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Unformatted text preview: PHY3063 R. D. Field Department of Physics Chapter7_17.doc University of Florida Exchange Forces (2) Two Bosons in a Box (continued): αβ α β α α β α β β α β α α β α β β α αβ βα βα αβ αβ δ ψ ψ ψ ψ ψ ψ ψ ψ ψ ψ ψ ψ ψ ψ ψ ψ ψ ψ ψ ψ ρ > =< + = + = + = >= < ∫ ∫ ∫ ∫ ∫ ∫ ∫ ∫ ∫ 2 2 2 * 2 2 2 1 1 * 1 2 1 2 2 * 2 2 2 1 1 * 1 2 1 2 1 2 * 1 * 2 1 2 2 2 1 2 1 2 * 1 * 2 1 2 2 2 1 2 1 2 1 * 2 1 2 2 2 1 2 1 2 1 * 2 1 2 2 2 1 2 1 2 1 int 2 2 2 2 ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) , ( ) , ( ) , ( ) , ( ) , ( x dx x x x dx x x dx x x x dx x x dx dx x x x x x dx dx x x x x x dx dx x x x x x dx dx x x x x x dx dx x x x x 2 2 1 2 1 2 2 * 2 2 1 1 * 1 1 2 1 2 2 * 2 2 1 1 * 1 1 2 1 2 1 2 * 1 * 2 1 2 1 2 1 2 1 2 * 1 * 2 1 2 1 2 1 2 1 2 1 * 2 1 2 1 2 1 2 1 2 1 * 2 1 2 1 2 1 2 1 2 1 int 2 1 2 1 | | ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) , ( ) , ( ) , ( ) , ( ) , ( αβ βα αβ βα αβ αβ...
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