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

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

2000-03-14

arxiv.org/abs/math/0003078v1

J. Phys. A: Math. Gen. 34 (2001) 227

Mathematics

Quantum Algebra

Latex, 8 pages

Scientific paper

10.1088/0305-4470/34/2/302

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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