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Behavioral Differences of a Time-Dependent Harmonic Oscillator in Commutative Space and Non-Commutative Phase Space

  • Physics of Elementary Particles and Atomic Nuclei. Theory
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Abstract

In this article, behavioral differences of time-dependent harmonic oscillator in Commutative space and Non-Commutative phase space have been investigated. The considered harmonic oscillator has a time-dependent angular frequency and mass which are function of time. First, the time-dependent harmonic oscillator is studied in commutative space, then similar calculation is done for considered harmonic oscillator in Non-Commutative phase space. During this article method of Lewis–Riesenfeld dynamical invariant has been employed.

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Authors and Affiliations

  1. Physics Department, Shahrood University of Technology, Shahrood, Iran

    H. Sobhani & H. Hassanabadi

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  1. H. Sobhani
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  2. H. Hassanabadi
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Correspondence to H. Sobhani.

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Sobhani, H., Hassanabadi, H. Behavioral Differences of a Time-Dependent Harmonic Oscillator in Commutative Space and Non-Commutative Phase Space. Phys. Part. Nuclei Lett. 15, 469–472 (2018). https://doi.org/10.1134/S154747711805014X

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  • DOI: https://doi.org/10.1134/S154747711805014X

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