Approximate solutions to the Dunkl–Schrödinger equation for a class of exponential potentials
Abstract
Approximate solutions to the Schrödinger equation for a class of exponential potentials within the Dunkl formalism are constructed. Our approximation is applied to an inverse quadratic term contributed by the Dunkl formalism in the effective potential. We show that the Kratzer potential emerges as a particular case of our exponential interaction, and we derive conditions for our solutions to represent bound states. An explicit example is constructed.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Quantum Mechanics and Non-Hermitian Physics
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Modern Physics Letters A
- Volume
- 41
- Issue
- 11
- Publication date
- 26 February 2026
- Language
- EN