Chaos In 2D Bohmian Trajectories of Commensurate Harmonics Oscillators

Authors

  • Umair Abd Halim
  • Chan Kar Tim Department of Physics, Universiti Putra Malaysia, Serdang, 43400, Selangor, Malaysia
  • Nurisya Mohd Shah Department of Physics, Universiti Putra Malaysia, Serdang, 43400, Selangor, Malaysia

DOI:

https://doi.org/10.37934/araset.29.2.195203

Keywords:

Bohmian mechanics, Chaos theory, Harmonic oscillator

Abstract

Particle trajectories guided by the wave function are well-defined through Bohmian mechanics, which is a causal interpretation of quantum mechanics. Periodic and chaotic behaviours could be exhibited from the certain classical integrable systems that have been shown within this framework. In this study, we developed Mathematica programs to plot the Bohmian trajectories and Lyapunov exponents. These programs serve as computer experiments for numerical generation and illustration of the results. We show that the behaviours of commensurate two-dimensional harmonic oscillator systems are dependent on ratios of frequency.

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Author Biographies

Chan Kar Tim, Department of Physics, Universiti Putra Malaysia, Serdang, 43400, Selangor, Malaysia

chankt@upm.edu.my

Nurisya Mohd Shah, Department of Physics, Universiti Putra Malaysia, Serdang, 43400, Selangor, Malaysia

risya@upm.edu.my

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Published

2023-01-13

How to Cite

Umair Abd Halim, Chan Kar Tim, & Nurisya Mohd Shah. (2023). Chaos In 2D Bohmian Trajectories of Commensurate Harmonics Oscillators. Journal of Advanced Research in Applied Sciences and Engineering Technology, 29(2), 195–203. https://doi.org/10.37934/araset.29.2.195203

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