Quantum Dynamics in a Time-dependent Hard-Wall Spherical Trap

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

References in corpus (5)

• Quantum transients
• Dynamics of a Tonks-Girardeau gas released from a hard-wall trap
• Path Integral Solution of a Class of Explicitly Time-Dependent Potentials
• Quantum matter wave dynamics with moving mirrors
• Diffraction in time of a confined particle and its Bohmian paths

Cited by in corpus (11)

• Shortcuts to adiabaticity
• Solutions of the Klein-Gordon equation in an infinite square-well potential with a moving wall
• Single particle nonlocality, geometric phases and time-dependent boundary conditions
• Non-locality and time-dependent boundary conditions: a Klein-Gordon perspective
• Nonlocality and local causality in the Schrödinger Equation with time-dependent boundary conditions
• Dynamics of a particle confined in a two-dimensional dilating and deforming domain
• Quantum dynamics in a time-dependent cylindrical trap
• Quantum effective force and Bohmian approach for time-dependent traps
• Resonant transitions due to changing boundaries
• Quantifying the failure of Schrödinger dynamics in the free expansion of relativistic particles
• Effects of quantum geometric phase of a particle in an oscillating hard-wall spherical trap