Realization of the Wigner–Heisenberg algebra through generalized momentum operators
Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, 660-701, Jinju, Korea
2 Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, 46408, Gary, IN, USA
3 Department of Physics, Indiana University Northwest, 3400 Broadway, 46408, Gary, IN, USA
4 Faculty of Physics, Shahrood University of Technology, Shahrood, Iran
Accepted: 12 January 2023
Published online: 23 January 2023
We construct a momentum operator within the Wigner–Heisenberg algebra picture by means of a generalized derivative, a particular case of which is the Dunkl operator. The corresponding Hamiltonian is set up, and the Schrödinger equation is generated. We discuss properties of its bound state solutions and present an application involving a harmonic oscillator potential.
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