Partial integrability of 3d Bohmian trajectories
In this paper we study the integrability of 3d Bohmian trajectories of a system of quantum harmonic oscillators. We show that the initial choice of quantum numbers is responsible for the existence (or not) of an integral of motion which confines the trajectories on certain invariant surfaces. We giv...
Saved in:
Published in | Journal of physics. A, Mathematical and theoretical Vol. 50; no. 19; pp. 195101 - 195113 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
IOP Publishing
12.05.2017
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | In this paper we study the integrability of 3d Bohmian trajectories of a system of quantum harmonic oscillators. We show that the initial choice of quantum numbers is responsible for the existence (or not) of an integral of motion which confines the trajectories on certain invariant surfaces. We give a few examples of orbits in cases where there is or there is not an integral and make some comments on the impact of partial integrability in Bohmian Mechanics. Finally, we make a connection between our present results for the integrability in the 3d case and analogous results found in the 2d and 4d cases. |
---|---|
Bibliography: | JPhysA-107012.R1 |
ISSN: | 1751-8113 1751-8121 |
DOI: | 10.1088/1751-8121/aa685d |