Geodesic
Characterization of Multidimensional Euclidean Landau States by Coherent State Transformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 3, pp. 492-499

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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. 
@article{TMF_2004_140_3_a9,
     author = {Z. Mouyan},
     title = {Characterization of {Multidimensional} {Euclidean} {Landau} {States} by {Coherent} {State} {Transformations}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {492--499},
     publisher = {mathdoc},
     volume = {140},
     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_140_3_a9/}
}
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Z. Mouyan. Characterization of Multidimensional Euclidean Landau States by Coherent State Transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 3, pp. 492-499. http://geodesic.mathdoc.fr/item/TMF_2004_140_3_a9/