The Wigner-Dunkl-Newton mechanics with time-reversal symmetry | Zendy

Won Sang Chung | Zendy; H. Hassanabadi | Zendy

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The Wigner-Dunkl-Newton mechanics with time-reversal symmetry

Author(s) -

Won Sang Chung,

H. Hassanabadi

Publication year - 2020

Publication title -

revista mexicana de física

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.181

H-Index - 25

eISSN - 2683-2224

pISSN - 0035-001X

DOI - 10.31349/revmexfis.66.308

Subject(s) - classical mechanics , formalism (music) , physics , exponential function , lagrangian , lagrangian mechanics , hamiltonian (control theory) , analytical mechanics , mathematical physics , mathematics , mathematical analysis , quantum mechanics , quantum statistical mechanics , art , musical , mathematical optimization , visual arts , quantum

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.

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