542-problem-2 - Ψ As a special case orthonormality is preserved so states that are initially orthogonal remain ortho-gonal This property is always

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Chem. 542 Assignment by Nancy Makri PROBLEM 2 In class we proved that time evolution preserves the norm of the wavefunction. Using again the unitarity of the time evolution operator, show that wavefunction overlaps are also preserved, i.e., 2 1 2 0 1 0 ( ) ( ) ( ) ( ) t t t t Ψ Ψ = Ψ
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Unformatted text preview: Ψ . As a special case, orthonormality is preserved, so states that are initially orthogonal remain ortho-gonal. This property is always true, even for evolution under time-dependent Hamiltonians (as long as the Hamiltonian in hermitian). ....
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This note was uploaded on 02/08/2012 for the course CHEM 542 taught by Professor Gruebele during the Spring '08 term at University of Illinois, Urbana Champaign.

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