Integrals of motion in 3-d Bohmian Trajectories
Quantum Physics
2018-02-14 v1
Abstract
Chaos in Bohmian Quantum Mechanics is an open field of research. In general, most of the 3-d Bohmian trajectories are free to wander around the 3-d space. However there are cases where the evolution of the trajectories is dictated by exact or approximate integrals of motion. A first case corresponds to partial integrability, where the trajectories (ordered and chaotic) evolve on certain integral surfaces. A second case corresponds to ordered trajectories. In this paper we extend our previous work in 3-d Bohmian Chaos by using both forms of integrability and discuss their physical implications.
Keywords
Cite
@article{arxiv.1712.03437,
title = {Integrals of motion in 3-d Bohmian Trajectories},
author = {Athanasios C. Tzemos and George Contopoulos},
journal= {arXiv preprint arXiv:1712.03437},
year = {2018}
}
Comments
28 pages, 14 figures