Harmonic Oscillator in a Half-space with a Moving Wall

Wave function of a harmonic oscillator in a half-space with a periodically moving left wall.

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The harmonic oscillator is the most important quantum mechanical model. A few variants of the harmonic oscillator are solvable in closed form: besides the case of a time-dependent oscillator potential, there is also the oscillator in a half-space with a harmonically moving boundary (at which we assume homogeneous Dirichlet boundary conditions). A. J. Makowski. J. Phys. A 25, 3419 (1992)
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