Quantum Dynamics in a Time-dependent Hard-Wall Spherical Trap
  Exact solution of the Schr\"{o}dinger 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. 
S. V. Mousavi
quant-ph physics.atom-ph