GREPhysics.NET: GR9677 #98

GR9677 #98

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Quantum Mechanics $\Rightarrow$ }Symmetry

One recalls the simple harmonic oscillator wave functions to be symmetric about the vertical-axis (even) for the 0th energy level, symmetric about the origin (odd) for the first energy level, and so on.

If there is a wall in the middle of the well, then all the 0th energy level wave function would disappear, as would all even wave functions.

Recall the formula for SHO $E=\hbar \omega \left(n+\frac{1}{2}\right)$ . The first few odd states (the ones that remain) are $E_1 = 3/2 \hbar \omega, E_3=7/2 \hbar \omega$ , etc. This is choice (D).

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