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Chaos in Bohmian mechanics of commensurate harmonic oscillators

Abdul Halim, Umair and Zainuddin, Hishamuddin (2014) Chaos in Bohmian mechanics of commensurate harmonic oscillators. Journal of Physics: Conference Series, 553 (1). art. no. 012007. pp. 1-7. ISSN 1742-6588; ESSN: 1742-6596

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Official URL: http://iopscience.iop.org/article/10.1088/1742-659...

Abstract

Bohmian mechanics is a causal interpretation of quantum mechanics in which there are well-defined particle trajectories guided by the wave function. Within this framework, it is shown that certain classical integrable systems can exhibit both periodic and chaotic behaviours. In this paper, we extend the work of Borondo et al. by investigating the behaviours of commensurate two-dimensional harmonic oscillator systems with different ratios of frequencies. We show that the system may produce chaotic behavior of Bohmian trajectories to be dependenton frequencies ratio. This result is illustrated numerically in computer experiments displaying the Bohmian trajectories.

Item Type:Article
Keyword:Bohmian trajectories; Oscillators
Faculty or Institute:Faculty of Science
Publisher:Institute of Physics Publishing
DOI Number:10.1088/1742-6596/553/1/012007
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1088/1742-6596/553/1/012007
ID Code:36733
Deposited By: Nabilah Mustapa
Deposited On:01 Dec 2015 14:17
Last Modified:01 Dec 2015 14:17

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