Oct 15, 2015
Expectations for SHO Hamiltonian, and virial theorem.
Expectations for SHO Hamiltonian, and virial theorem.
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Question: Expectations for SHO Hamiltonian, and virial theorem. ([1] pr. 2.3) (a)
For a 1D SHO, compute \( \bra{m} x \ket{n}, \bra{m} x^2 \ket{n}, \bra{m} p \ket{n}, \bra{m} p^2 \ket{n} \) and \( \bra{m} \symmetric{x}{p} \ket{n} \).
(b)
Verify the virial theorem is satisfied for energy eigenstates.
Answer (a)
Using
\begin{equation}\label{e…
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