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The Damped Harmonic Oscillator at the Classical Limit of the Snyder-de Sitter Space

Author

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  • Lat´evi M. Lawson
  • Ibrahim Nonkan´e
  • Komi Sodoga

Abstract

Valtancoli in his paper entitled (P. Valtancoli, Canonical transformations and minimal length, J. Math. Phys. 56, 122107 2015) has shown how the deformation of the canonical transformations can be made compatible with the deformed Poisson brackets. Based on this work and through an appropriate canonical transformation, we solve the problem of one dimensional (1D) damped harmonic oscillator at the classical limit of the Snyder-de Sitter (SdS) space. We show that the equations of the motion can be described by trigonometric functions with frequency and period depending on the deformed and the damped parameters. We eventually discuss the influences of these parameters on the motion of the system.

Suggested Citation

  • Lat´evi M. Lawson & Ibrahim Nonkan´e & Komi Sodoga, 2021. "The Damped Harmonic Oscillator at the Classical Limit of the Snyder-de Sitter Space," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 13(2), pages 1-1, April.
    • Handle: RePEc:ibn:jmrjnl:v:13:y:2021:i:2:p:1
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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