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Representations of SU(1,1) in Non-commutative Space Generated by the Heisenberg Algebra

H. Ahmedov·I. H. Duru
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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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BibTeXRIS

H. Ahmedov, I. H. Duru. 2000-03-14. Representations of SU(1,1) in Non-commutative Space Generated by the Heisenberg Algebra. https://doi.org/10.1088/0305-4470%2F34%2F2%2F302

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