Chaos in Bohmian mechanics of commensurate harmonic oscillators
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...
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| Format: | Article |
| Language: | English |
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Institute of Physics Publishing
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36733/ http://psasir.upm.edu.my/id/eprint/36733/1/Chaos%20in%20Bohmian%20mechanics%20of%20commensurate%20harmonic%20oscillators.pdf |
| _version_ | 1848848415203524608 |
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| author | Abdul Halim, Umair Zainuddin, Hishamuddin |
| author_facet | Abdul Halim, Umair Zainuddin, Hishamuddin |
| author_sort | Abdul Halim, Umair |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:34:08Z |
| format | Article |
| id | upm-36733 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:34:08Z |
| publishDate | 2014 |
| publisher | Institute of Physics Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-367332015-12-01T06:17:00Z http://psasir.upm.edu.my/id/eprint/36733/ Chaos in Bohmian mechanics of commensurate harmonic oscillators Abdul Halim, Umair Zainuddin, Hishamuddin 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. Institute of Physics Publishing 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36733/1/Chaos%20in%20Bohmian%20mechanics%20of%20commensurate%20harmonic%20oscillators.pdf 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 http://iopscience.iop.org/article/10.1088/1742-6596/553/1/012007/meta;jsessionid=A475F949482788C6F136501E028E65DE.c1.iopscience.cld.iop.org 10.1088/1742-6596/553/1/012007 |
| spellingShingle | Abdul Halim, Umair Zainuddin, Hishamuddin Chaos in Bohmian mechanics of commensurate harmonic oscillators |
| title | Chaos in Bohmian mechanics of commensurate harmonic oscillators |
| title_full | Chaos in Bohmian mechanics of commensurate harmonic oscillators |
| title_fullStr | Chaos in Bohmian mechanics of commensurate harmonic oscillators |
| title_full_unstemmed | Chaos in Bohmian mechanics of commensurate harmonic oscillators |
| title_short | Chaos in Bohmian mechanics of commensurate harmonic oscillators |
| title_sort | chaos in bohmian mechanics of commensurate harmonic oscillators |
| url | http://psasir.upm.edu.my/id/eprint/36733/ http://psasir.upm.edu.my/id/eprint/36733/ http://psasir.upm.edu.my/id/eprint/36733/ http://psasir.upm.edu.my/id/eprint/36733/1/Chaos%20in%20Bohmian%20mechanics%20of%20commensurate%20harmonic%20oscillators.pdf |