Diffraction in time of a confined particle and its Bohmian paths

Abstract

Diffraction in time of a particle confined in a box which its walls are removed suddenly at $t=0$ is studied. The solution of the time-dependent Schrödinger equation is discussed analytically and numerically for various initial wavefunctions. In each case Bohmian trajectories of the particles are computed and also the mean arrival time at a given location is studied as a function of the initial state.

8 pages, 6 figures

References in corpus (1)

• Bohmian mechanics, the quantum-classical correspondence and the classical limit: the case of the square billiard

Cited by in corpus (4)

• Equivalence between quantum backflow and classically forbidden probability flow in a diffraction-in-time problem
• Quantum Dynamics in a Time-dependent Hard-Wall Spherical Trap
• Weak measurements of trajectories in quantum systems: classical, Bohmian and sum over paths
• Quantum dynamics in a time-dependent cylindrical trap