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the_variational_principle [2020/08/24 06:47] – [Example: Ground State of the Harmonic Oscillator] adminthe_variational_principle [2020/08/24 07:02] (current) – [In Class Activities] admin
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   - For the same Hamiltonian, consider the ansatz $\psi(x) = \sqrt{b} e^{-b|x|}$.  Show that the potential energy term is   - For the same Hamiltonian, consider the ansatz $\psi(x) = \sqrt{b} e^{-b|x|}$.  Show that the potential energy term is
-  \[\langle \hat{V} \rangle = \frac{m\omega^2}{4b}.\]+  \[\langle \hat{V} \rangle = \frac{m\omega^2}{4b^2}.\]