Quantum dynamics in a time-dependent cylindrical trap
arXiv:1207.3854 · doi:10.1016/j.physleta.2013.04.022
Abstract
Solutions to the Schrödinger equation are examined for a particle inside a cylindrical trap of a circular time-dependent cross-section. Analytical expressions for energy and momentum expectation values are derived with respect to the exact solutions; and the adiabatic and sudden change of the boundary are discussed. The density profile as a function of time in a given observation point, resembles the diffraction-in-time pattern observed in a suddenly released particle but with an enhanced fringe visibility. Numerical computations are presented for both contracting and expanding boxes.
Accepted by Physics Letters A
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