Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc.

DOI10.1007/s10492-007-0004-7zbMath1164.33301OpenAlexW2046247911MaRDI QIDQ954609

Zouhaïr Mouayn

Publication date: 24 November 2008

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33278

zbMATH Keywords

universal covering groupLandau HamiltonianFlensted-Jensen's functionshyperbolic disc

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Classical hypergeometric functions, ({}_2F_1) (33C05) Harmonic analysis and spherical functions (43A90)

Cites Work

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• On the Landau levels on the hyperbolic plane
• Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces
• Spherical Functions on a Simply Connected Semisimple Lie Group
• Characterization of hyperbolic Landau states by coherent state transforms
• Landau quantum systems: an approach based on symmetry
• Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane

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