ScholarWorks@경상국립대학교

초록

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. © 2023, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.