Abstract
In this paper, we solve exactly the Schrödinger equation for the free-particle, the pseudo-harmonic oscillator and the Mie-type potential in three dimensions with the Dunkl derivative. The equations for the radial and angular parts are obtained by using spherical coordinates and separation of variables. The wave functions and the energy spectrum for these potentials are derived in an analytical way and it is shown that our results are adequately reduced to those previously reported when we remove the Dunkl derivative parameters.
Original language | English |
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Article number | 2250006 |
Journal | Modern Physics Letters A |
Volume | 37 |
Issue number | 1 |
DOIs | |
State | Published - 10 Jan 2022 |
Keywords
- Dunkl derivative
- Mie-type potential
- pseudo-harmonic potential
- spherical waves