REPRESENTATION OF THE HEISENBERG ALGEBRA h4 BY THE LOWEST LANDAU LEVELS AND THEIR COHERENT STATES

DOI10.1142/S0217732305017652zbMath1088.81059MaRDI QIDQ5699312

Zeinab Shadman, Hossein Fakhri

Publication date: 26 October 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

zbMATH Keywords

Lie algebrasquantum mechanicscoherent statesdynamical symmetrySpecial functionsshape invariance

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30)

Cites Work

• Generalized Klauder-Perelomov and Gazeau-Klauder coherent states for Landau levels
• Shape invariance symmetries for quantum states of the superpotentials \(A\tanh\omega y+B/A\) and \(- A\cot\omega \theta +B\csc\omega \theta \)
• Ladder operators for the associated Laguerre functions
• Shape invariance and laddering equations for the associated hypergeometric functions
• Landau levels on the hyperbolic plane
• BARUT–GIRARDELLO COHERENT STATES CONSTRUCTED BY Y_{m m}(θ,φ) AND Y_{m+1 m}(θ,φ) FOR A FREE PARTICLE ON THE SPHERE
• su(1, 1)-Barut–Girardello coherent states for Landau levels

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