Abstract

SANG CHUNG, W.  and  HASSANABADI, H.. The Wigner-Dunkl-Newton mechanics with time-reversal symmetry. Rev. mex. fis. [online]. 2020, vol.66, n.3, pp.308-314.  Epub Mar 26, 2021. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.66.308.

In this paper, we use the Dunkl derivative concerning to time to construct the Wigner-Dunkl-Newton mechanics with time-reversal symmetry. We define the Wigner-Dunkl-Newton velocity and Wigner-Dunkl-Newton acceleration and construct the Wigner-Dunkl-Newton equation of motion. We also discuss the Hamiltonian formalism in the Wigner-Dunkl-Newton mechanics. We discuss some deformed elementary functions such as the ν-deformed exponential functions, ν-deformed hyperbolic functions and ν-deformed trigonometric functions. Using these, we solve some problems in one dimensional Wigner-Dunkl-Newton mechanics.

Keywords : Dunkl derivative; Wigner-Dunkl-Newton mechanics; time-reversal symmetry; 03.65.Ge; 03.65.Fd; 02.30.Gp.

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