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Unformatted text preview: there is also a quantum analog to the virial theorem, which relates the expec-tation values of the kinetic and potential energies. Prove the quantum analog for a stationary state in one dimension, i.e. show that for a stationary state, 2 h KE i = h x ∂V /∂x i where KE is the kinetic energy. ( Hint: Recall that in a stationary state, expec-tation values of operators are constant in time. Consider the operator ˆ x ˆ p and the relation of its time derivative to its commutator with the Hamiltonian.)...
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This document was uploaded on 09/10/2009.
- Spring '09