Representations of SU(1,1) in Non-commutative Space Generated by the Heisenberg Algebra
Quantum Algebra
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.math/0003078,
title = {Representations of SU(1,1) in Non-commutative Space Generated by the Heisenberg Algebra},
author = {H. Ahmedov and I. H. Duru},
journal= {arXiv preprint arXiv:math/0003078},
year = {2009}
}
Comments
Latex, 8 pages