Abstract
In this paper, we introduce a generalization of the Dunkl derivative with two parameters to study the Schrödinger equation in Cartesian and polar coordinates in two dimensions. The eigenfunctions and the energy spectrum for the harmonic oscillator and the Coulomb problem are derived in an analytical way and it is shown that our results are properly reduced to those previously reported for the Dunkl derivative with a single parameter.
Original language | English |
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Article number | 2250224 |
Journal | Modern Physics Letters A |
Volume | 37 |
Issue number | 33-34 |
DOIs | |
State | Published - 10 Nov 2022 |
Keywords
- Coulomb problem
- Dunkl derivative
- Schrödinger equation
- harmonic oscillator