Exactly-solvable quantum systems in terms of Lambert-W functions
Quantum Physics
2020-08-05 v1
Abstract
We construct a variety of new exactly-solvable quantum systems, the potentials of which are given in terms of Lambert-W functions. In particular, we generate Schr\"odinger models with energy-dependent potentials, conventional Schr\"odinger models using the supersymmetry formalism, and two-dimensional Dirac systems. In addition, we derive Wronskian integral formulas for Lambert-W functions.
Keywords
Cite
@article{arxiv.2008.01072,
title = {Exactly-solvable quantum systems in terms of Lambert-W functions},
author = {A. Schulze-Halberg and A. M. Ishkhanyan},
journal= {arXiv preprint arXiv:2008.01072},
year = {2020}
}