The Wigner-Dunkl-Newton mechanics with time-reversal symmetry
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 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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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedad Mexicana de Física
2020
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| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2020000300308 |
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| Summary: | 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 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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