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

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 multipl...

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Autores principales: Tzemos, Athanasios C., Contopoulos, George
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10379029/
https://www.ncbi.nlm.nih.gov/pubmed/37510036
http://dx.doi.org/10.3390/e25071089
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author Tzemos, Athanasios C.
Contopoulos, George
author_facet Tzemos, Athanasios C.
Contopoulos, George
author_sort Tzemos, Athanasios C.
collection PubMed
description 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.
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spelling pubmed-103790292023-07-29 Unstable Points, Ergodicity and Born’s Rule in 2d Bohmian Systems Tzemos, Athanasios C. Contopoulos, George Entropy (Basel) Article 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. MDPI 2023-07-20 /pmc/articles/PMC10379029/ /pubmed/37510036 http://dx.doi.org/10.3390/e25071089 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Tzemos, Athanasios C.
Contopoulos, George
Unstable Points, Ergodicity and Born’s Rule in 2d Bohmian Systems
title Unstable Points, Ergodicity and Born’s Rule in 2d Bohmian Systems
title_full Unstable Points, Ergodicity and Born’s Rule in 2d Bohmian Systems
title_fullStr Unstable Points, Ergodicity and Born’s Rule in 2d Bohmian Systems
title_full_unstemmed Unstable Points, Ergodicity and Born’s Rule in 2d Bohmian Systems
title_short Unstable Points, Ergodicity and Born’s Rule in 2d Bohmian Systems
title_sort unstable points, ergodicity and born’s rule in 2d bohmian systems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10379029/
https://www.ncbi.nlm.nih.gov/pubmed/37510036
http://dx.doi.org/10.3390/e25071089
work_keys_str_mv AT tzemosathanasiosc unstablepointsergodicityandbornsrulein2dbohmiansystems
AT contopoulosgeorge unstablepointsergodicityandbornsrulein2dbohmiansystems

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