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

• URL: http://arxiv.org/abs/2302.03127v2
• Date: Thu, 27 Apr 2023 01:27:26 GMT
• Title: Numerical validation of Ehrenfest theorem in a Bohmian perspective for non-conservative systems
• Authors: Matheus M. A. Paix\~ao and Henrique Santos Lima
• Abstract summary: We make a high precision numerical study of the Ehrenfest theorem using the Bohmian approach. We find numerical solutions of the time-dependent Schr"odinger equation and the guidance equation for different sets of initial conditions. In the last case the resonance in the quantum trajectories was observed.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: 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 and Duffing oscillator cases, finding numerical solutions of the time-dependent Schr\"odinger equation and the guidance equation for different sets of initial conditions and connects these results with the corresponding classical solutions. 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.

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