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Bohmian quantum trajectories from coherent states

Dey, S. and Fring, A. (2013). Bohmian quantum trajectories from coherent states. Physical Review A (PRA), 88(022116), -. doi: 10.1103/PhysRevA.88.022116

Abstract

We find that real and complex Bohmian quantum trajectories resulting from well-localized Klauder coherent states in the quasi-Poissonian regime possess qualitatively the same type of trajectories as those obtained from a purely classical analysis of the corresponding Hamilton-Jacobi equation. In the complex cases we treated the quantum potential results to a constant, such that the agreement is exact. For the real cases we provide conjectures for analytical solutions for the trajectories as well as the corresponding quantum potentials. The overall qualitative behavior is governed by the Mandel parameter determining the regime in which the wave functions evolve as solitonlike structures. We demonstrate these features explicitly for the harmonic oscillator and the Pöschl-Teller potential.

Publication Type: Article
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/2610
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Official URL: http://pra.aps.org/

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