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  GR8677 #49
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Verbatim question for GR8677 #49
Quantum Mechanics}Schrodinger Equation

Recall the Time-independent Schrodinger Equation,

where H=-\frac{\hbar^2}{2m}\psi '' + V(x) \psi = E\psi.

The classical Hamiltonian is H=\frac{p^2}{2m} + V(x), where one sees the only difference is p \rightarrow \frac{\hbar}{i}\frac{d}{dx}. From the classical Hami, one can directly reach the Hami operator in the TISE via substituting a differential operator for momentum, as in choice (B).

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