Half harmonic oscillator potential

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Suppose we have a "half harmonic oscillator" potential, forexample, exactly half of a parabolic potential on the right of the"center" and infinitely high potential barrier to the left of the center. Compared to the normal harmonic oscillator, what are the (normalized) energy eigenfunctions and eigenvalues? (hint: there isvery little to solve, just requires thought)

Reference no: EM13649212

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