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

In this paper we use the Dunkl derivative with respect to time to construct theWigner-Dunkl-Newton mechanics with time-reversal symmetry. We deflne the WignerDunkl-Newton velocity and Wigner-Dunkl-Newton acceleration and construct the WignerDunkl-Newton equation of motion. We also discuss the Hamilt...

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Veröffentlicht in:Revista mexicana de física 2020-05, Vol.66 (3 May-Jun), p.308-314
Hauptverfasser: Sang Chung, W., Hassanabadi, H.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we use the Dunkl derivative with respect to time to construct theWigner-Dunkl-Newton mechanics with time-reversal symmetry. We deflne the WignerDunkl-Newton velocity and Wigner-Dunkl-Newton acceleration and construct the WignerDunkl-Newton equation of motion. We also discuss the Hamiltonian formalism in theWigner-Dunkl-Newton mechanics. We discuss some deformed elementary functions suchas the ”-deformed exponential functions, ”-deformed hyperbolic functions and ”-deformedtrigonometric functions. Using these we solve some problems in on dimensional WignerDunkl-Newton mechanics mechanics.
ISSN:0035-001X
2683-2224
DOI:10.31349/RevMexFis.66.308