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

초록

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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