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Results tagged with matrix-elements
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user 60644
Matrix elements are the components, or entries, of a matrix, typically considered in a certain basis.
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Matrix elements of the free particle Hamiltonian
The Hamiltonian of a free particle is $\hat H = \frac{\hat p^2}{2m}$, in position representation
$$ \hat H = -\frac{\hbar^2}{2m} \Delta \;. $$
Now consider two wave functions $\psi_1(x)$ and $\psi_2(x …
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