348-problem12 - of energy in a system, all the eigenvalues...

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Chem. 540 Instructor: Nancy Makri PROBLEM 12 Show that if the Hamiltonian is changed by adding a constant, the eigenfunctions remain the same but the eigenvalues are shifted by this constant. This means that if we redefine the zero
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Unformatted text preview: of energy in a system, all the eigenvalues will be shifted accordingly by a constant amount. Noth-ing else is affected, so the choice of the zero of energy is arbitrary....
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