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

被引：5

作者：

Tzemos, Athanasios C. C. ^{[1
]}

Contopoulos, George ^{[1
]}

机构：

[1] Acad Athens, Res Ctr Astron & Appl Math, Soranou Efessiou 4, GR-11527 Athens, Greece

来源：

ENTROPY | 2023年 / 25卷 / 07期

关键词：

chaos; Bohmian Quantum Mechanics; Born's rule; QUANTUM-THEORY; SUGGESTED INTERPRETATION; SIGNAL-LOCALITY; CHAOS; MOTION; TERMS; TRAJECTORIES; UNCERTAINTY; ORIGIN;

D O I：

10.3390/e25071089

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：17

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