Exactly-solvable quantum systems in terms of Lambert-W functions

• URL: http://arxiv.org/abs/2008.01072v1
• Date: Sat, 1 Aug 2020 23:40:41 GMT
• Title: Exactly-solvable quantum systems in terms of Lambert-W functions
• Authors: A. Schulze-Halberg and A.M. Ishkhanyan
• Abstract summary: We generate Schr"odinger models with energy-dependent potentials. We derive Wronskian integral formulas for Lambert-W functions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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