Quantum Dynamics in a Time-dependent Hard-Wall Spherical Trap
arXiv:1207.3631 · doi:10.1209/0295-5075/99/30002
Abstract
Exact solution of the Schrödinger equation is given for a particle inside a hard sphere whose wall is moving with a constant velocity. Numerical computations are presented for both contracting and expanding spheres. The propagator is constructed and compared with the propagator of a particle in an infinite square well with one wall in uniform motion.
6 pages, 4 figures, Accepted by Europhys. Lett