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Open Quantum Systems Decoherence Quantum Simulation

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

arXiv
Authors: A. Schulze-Halberg, A. M. Ishkhanyan

Year

2020

Paper ID

21775

Status

Preprint

Abstract Read

~2 min

Abstract Words

52

Citations

N/A

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • We construct a variety of new exactly-solvable quantum systems, the potentials of which are given in terms of Lambert-W functions.

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