Bohmian Trajectories of the Time-oscillating Schrödinger Equations

Abstract

Bohmian mechanics is a non-relativistic quantum theory based on a particle approach. In this paper we study the Schrödinger equation with rapidly oscillating potential and the associated Bohmian trajectory. We prove that the corresponding Bohmian trajectory converges locally in measure, and the limit coincides with the Bohmian trajectory for the effective Schrödinger equation on a finite time interval. This is beneficial for the efficient simulation of the Bohmian trajectories in oscillating potential fields.

References in corpus (3)

• Applied Bohmian Mechanics
• Simple Proof for Global Existence of Bohmian Trajectories
• On the classical limit of Bohmian mechanics for Hagedorn wave packets