The Wigner-Dunkl-Newton mechanics with time-reversal symmetry
Won Sang Chung, H. Hassanabadi
Abstract
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.
Topics & Concepts
Classical mechanicsFormalism (music)PhysicsExponential functionLagrangianLagrangian mechanicsHamiltonian (control theory)Analytical mechanicsMathematical physicsMathematicsMathematical analysisQuantum mechanicsQuantum statistical mechanicsMathematical optimizationQuantumArtMusicalVisual artsAlgebraic and Geometric AnalysisQuantum Mechanics and Non-Hermitian PhysicsQuantum Mechanics and Applications