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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 140, Number 3, Pages 492–499
DOI: https://doi.org/10.4213/tmf104 (Mi tmf104) 		 
Characterization of Multidimensional Euclidean Landau States by Coherent State Transformations

Z. Mouyan

Univeristé Cadi Ayyad
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DOI: https://doi.org/10.4213/tmf104
Abstract: We deal with a family of multidimensional generalized coherent states obtained using the Fock–Bargmann representation of the Heisenberg group. We prove that the ranges of the corresponding coherent state transformations coincide with the spaces of bound states of an even-dimensional analogue of a charged particle in a uniform magnetic field. This provides a new characterization of Euclidean Landau states.
Keywords: Heisenberg group, Fock–Bargmann representation, coherent state transformations. Euclidean Landau states.
Received: 10.07.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 140, Issue 3, Pages 1309–1315
DOI: https://doi.org/10.1023/B:TAMP.0000039835.06681.63
Bibliographic databases:
Language: Russian
Citation: Z. Mouyan, “Characterization of Multidimensional Euclidean Landau States by Coherent State Transformations”, TMF, 140:3 (2004), 492–499; Theoret. and Math. Phys., 140:3 (2004), 1309–1315
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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