Generalized Second Bargmann Transforms Associated with the Hyperbolic Landau Levels on the Poincaré Disk

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.

Saved in:
Bibliographic Details
Published in:Annales Henri Poincaré 2012-04, Vol.13 (3), p.513-524
Main Authors: El Wassouli, Fouzia, Ghanmi, Allal, Intissar, Ahmed, Mouayn, Zouhaïr
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Dynamical Systems and Ergodic Theory
Elementary Particles
Exact sciences and technology
Mathematical analysis
Mathematical and Computational Physics
Mathematical Methods in Physics
Mathematics
Other topics in mathematical methods in physics
Partial differential equations
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Relativity Theory
Sciences and techniques of general use
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-011-0131-2