Representations of SU(1,1) in Non-commutative Space Generated by the Heisenberg Algebra
H. Ahmedov, I. H. Duru
Abstract
SU(1,1) is considered as the automorphism group of the Heisenberg algebra H. The basis in the Hilbert space K of functions on H on which the irreducible representations of the group are realized is explicitly constructed. The addition theorems are derived.
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