Numerical validation of Ehrenfest theorem in a Bohmian perspective for non-conservative systems

Matheus M. A. Paixão, Henrique Santos Lima

Published 2023-02-06Version 1

In this work we make a high precision numerical study of the Ehrenfest theorem using the Bohmian approach, where we obtain classical solutions from the quantum trajectories performing the Bohmian averages. We analyse the one-dimensional quantum harmonic oscillator case, finding numerical solutions of the Schr\"odinger equation and the guidance equation for different sets of initial conditions. We also investigate the effect of introducing external forces of three types: a simple constant force, a fast-acting Gaussian impulse, and an oscillatory force with different frequencies. In the last case the resonance in the quantum trajectories was observed.