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arxiv: 1102.1179 · v1 · pith:G6PFVOOUnew · submitted 2011-02-06 · 🧮 math-ph · math.CV· math.MP

Generalized second Bargmann transforms associated with the hyperbolic Landau levels on the Poincar\'e disk

classification 🧮 math-ph math.CVmath.MP
keywords associatedgeneralizedtransformsbargmanncoherentdiskhyperboliclandau
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We deal with a family of generalized coherent states associated to the hyperbolic Landau levels of the Schr\"odinger operator with uniform magnetic field on the Poincar\'e disk. Their associated coherent state transforms constitute a class of generalized second Bargmann transforms.

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