Generalized second Bargmann transforms associated with the hyperbolic Landau levels on the Poincaré disk

preprint2011arXivOpen access

Abstract

We deal with a family of generalized coherent states associated to the hyperbolic Landau levels of the Schrödinger operator with uniform magnetic field on the Poincaré disk. Their associated coherent state transforms constitute a class of generalized second Bargmann transforms.

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