Unstable Points, Ergodicity and Born’s Rule in 2d Bohmian Systems

Author:

Tzemos Athanasios C.1,Contopoulos George1

Affiliation:

1. Research Center for Astronomy and Applied Mathematics of the Academy of Athens, Soranou Efessiou 4, GR-11527 Athens, Greece

Abstract

We study the role of unstable points in the Bohmian flow of a 2d system composed of two non-interacting harmonic oscillators. In particular, we study the unstable points in the inertial frame of reference as well as in the frame of reference of the moving nodal points, in cases with 1, 2 and multiple nodal points. Then, we find the contributions of the ordered and chaotic trajectories in the Born distribution, and when the latter is accessible by an initial particle distribution which does not satisfy Born’s rule.

Publisher

MDPI AG

Subject

General Physics and Astronomy

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