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

Physics – Mathematical Physics

Scientific paper

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7 pages

Scientific paper

10.1007/s00023-011-0131-2

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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