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The Wigner-Dunkl-Newton mechanics with time-reversal symmetryopen access
- Authors
- Chung, W. Sang; Hassanabadi, H.
- Issue Date
- May-2020
- Publisher
- Siciedad Mexicana de Fisica
- Keywords
- Dunkl derivative; Wigner-Dunkl-Newton mechanics; time-reversal symmetry
- Citation
- Revista Mexicana de Fisica, v.66, no.3, pp 308 - 314
- Pages
- 7
- Indexed
- SCIE
SCOPUS
- Journal Title
- Revista Mexicana de Fisica
- Volume
- 66
- Number
- 3
- Start Page
- 308
- End Page
- 314
- ISSN
- 0035-001X
- Abstract
- 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 nu-deformed exponential functions, nu-deformed hyperbolic functions and nu-deformed trigonometric functions. Using these, we solve some problems in one dimensional Wigner-Dunkl-Newton mechanics.
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