Coherent states and the role of the affine group in the quantum mechanics of the Morse potential

DOI10.1088/0305-4470/34/14/318zbMath0998.81034OpenAlexW2078434051MaRDI QIDQ4552125

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Publication date: 29 August 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/14/318

zbMATH Keywords

phase spaceHeisenberg-Weyl groupgeneralized Wigner functioncentral extension of the affine group

Mathematics Subject Classification ID

Coherent states (81R30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (5)

The essential spectrum of Schrödinger operators with asymptotically constant magnetic fields on the Poincaré upper-half plane ⋮ The affine Wigner distribution ⋮ Landau levels on the hyperbolic plane in the presence of Aharonov-Bohm fields ⋮ An integral transform connecting spaces of hyperbolic Landau states with a class of weighted Bergman spaces ⋮ Barut-Girardello coherent states for the Morse potential

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