Are there unbound states for a simple harmonic oscillator, Physics

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Are there unbound states for a simple harmonic oscillator

1. If the eigenfunctions of a potential have definite parities, the one of lowest energy always has even parity. Explain why.

2. Are there analogies in classical physics to the quantum mechanical concept of parity?

3. Are there unbound states for a simple harmonic oscillator potential? How many bound states are there? How realistic is the potential?

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Physics: Are there unbound states for a simple harmonic oscillator

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