A particle is moving in a simple harmonic oscillator, Physics

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A particle is moving in a simple harmonic oscillator

Question: A particle is moving in a simple harmonic oscillator potential V(x) = (1/2)kx², but with an infinite potential barrier at x=0 (paddle ball potential).

Part A: Calculate the allowed wave functions and corresponding energies.

I need help to determine the allowed wave functions and corresponding energies.

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Physics: A particle is moving in a simple harmonic oscillator

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Physics: A particle is moving in a simple harmonic oscillator

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