Quantum dynamics in a time-dependent cylindrical trap
Quantum Physics
2015-06-05 v4 Atomic Physics
Abstract
Solutions to the Schr\"{o}dinger 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.
Cite
@article{arxiv.1207.3854,
title = {Quantum dynamics in a time-dependent cylindrical trap},
author = {S. V. Mousavi},
journal= {arXiv preprint arXiv:1207.3854},
year = {2015}
}
Comments
Accepted by Physics Letters A