Exactly-solvable quantum systems in terms of Lambert-W functions
arXiv:2008.01072 · doi:10.1007/s00601-020-1546-4
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 Schrödinger models with energy-dependent potentials, conventional Schrödinger models using the supersymmetry formalism, and two-dimensional Dirac systems. In addition, we derive Wronskian integral formulas for Lambert-W functions.