Microparticle movement in one-dimensional square potential well with mobile wall

The paper considers a problem of quantum particle movement in the one-dimensional square potential well with impermeable walls. As opposed to the standard approach, the authors consider a well with a fixed wall which has a coordinate x = 0 while the other wall starts moving at the moment t = 0. The well width changes within the limits a...b. Due to the wall movement, a microparticle state becomes unsteady. Both a power spectrum and a wave function are determined for this state.

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