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arXiv · 2008.01072

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

A. Schulze-Halberg·A. M. Ishkhanyan
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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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A. Schulze-Halberg, A. M. Ishkhanyan. 2020-08-01. Exactly-solvable quantum systems in terms of Lambert-W functions. https://doi.org/10.1007/s00601-020-1546-4

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