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Chaotic Bohmian trajectories and the role of quantum potential in rational frequencies system


Citation

Umair, H. and Nurisya, M. S. and Chan, K. T. and Ahmad, H. A.S. (2025) Chaotic Bohmian trajectories and the role of quantum potential in rational frequencies system. Physica Scripta, 100 (5). art. no. 055202. pp. 1-9. ISSN 0031-8949; eISSN: 1402-4896

Abstract

Bohmian mechanics is an alternative formulation of quantum mechanics that maintains the notion of a well-defined trajectory governed by the wave function. The extra potential in this framework called quantum potential plays an important role in determining the dynamics of the Bohmian trajectory. In this study, we examine numerically the characteristics of a rational frequency system near a moving nodal point and how quantum potential plays an important role in generating chaotic motion for a specific mixture of wavefunction amplitudes. We show the transition from a regular to a chaotic trajectory when there is an abrupt change of quantum potential near the nodal point. This phenomenon occurs in the centre where the value of quantum potential is much higher than classical potential.


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Additional Metadata

Item Type: Article
Subject: Atomic and Molecular Physics, and Optics
Subject: Mathematical Physics
Divisions: Faculty of Science
Institute for Mathematical Research
Centre for Foundation Studies in Science of Universiti Putra Malaysia
DOI Number: https://doi.org/10.1088/1402-4896/adc518
Publisher: Institute of Physics
Keywords: Bohmian mechanics; Chaos theory; Quantum potential
Sustainable Development Goals (SDGs): SDG 9: Industry, Innovation and Infrastructure, SDG 4: Quality Education, SDG 17: Partnerships for the Goals
Depositing User: Ms. Siti Radziah Mohamed@mahmod
Date Deposited: 20 May 2026 03:47
Last Modified: 20 May 2026 03:47
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1088/1402-4896/adc518
URI: http://psasir.upm.edu.my/id/eprint/122864
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