Coherent states associated with the m-sheeted covering group of SU (1,1) are considered and such properties as overcompleteness and resolution of the identity are studied. They are used to define analytic representations in which the transformations of the m-sheeted covering group of SU (1,1) are implemented as extended Mobius conformal mappings. Applications of this formalism in the study of Hamiltonians that describe m-particle clustering are also considered.
机构:
Hungarian Acad Sci, Inst Solid State Phys & Opt, Wigner Res Ctr Phys, H-1525 Budapest, Hungary
ELI ALPS, ELI Hu Nkft, H-6720 Szeged, HungaryHungarian Acad Sci, Inst Solid State Phys & Opt, Wigner Res Ctr Phys, H-1525 Budapest, Hungary