GREPhysics.NET: GR8677 #49

GR8677 #49

Problem

GREPhysics.NET Official Solution

Alternate Solutions

Quantum Mechanics $\Rightarrow$ }Schrodinger Equation

Recall the Time-independent Schrodinger Equation,

$H\psi=E\psi\Rightarrow -\frac{\hbar^2}{2m}\psi '' + V(x) \psi = E\psi, <br />$

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).

Alternate Solutions

sunnysunny
2019-08-07 04:43:51

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ernest21 2019-08-23 02:02:18	I thought of it in terms of the selection rules , . If the initial state has , which corresponds to spherical symmetry in the wavefunction, then according to these the final state must have , which is not spherically symmetric. candle in the tomb Reply to this comment
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I thought of it in terms of the selection rules , . If the initial state has , which corresponds to spherical symmetry in the wavefunction, then according to these the final state must have , which is not spherically symmetric. candle in the tomb

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