Dynamical and structural symmetries for the highest Landau levels on the AdS
2

• Authors: Pakhshan Espoukeh , Hossein Fakhri
• Languages of publication: EN

Abstracts

EN

The aim of the paper is to use the recurrence relations with respect to both indices of the associated Legendre functions for the extraction of the Dirac quantization condition and dynamical symmetry group U(1, 1) corresponding to the highest Landau levels on the hyperbolic plane with uniform magnetic field B. Irreducible representations of the su(2) algebra are obtained by the ladder differential operators which change B by 1/2 unit and mode number by one unit. Two different classes of the irreducible representations of SU(1, 1) with the even and odd boson numbers 2B − 1/2 are extracted for the Bargmann indices 1/4 and 3/4, respectively. Finally, we show that shape invariance symmetry is realized by the ladder operators which shift only the magnetic field B by 1/2 unit.

Keywords

EN

quantum mechanics; Landau levels; hyperbolic plane; spectrum generating

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 2
• Pages: 405-413

Dates

published

1 - 4 - 2012

online

31 - 3 - 2012

Contributors

author

Pakhshan Espoukeh

• Department of Theoretical Physics and Astrophysics, Faculty of Physics, University of Tabriz, P. O. Box 51666-16471, Tabriz, Iran

author

Hossein Fakhri

• School of Physics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5531, Tehran, Iran

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Identifiers

DOI

10.2478/s11534-011-0113-5