Unitary representations of the 2-dimensional Euclidean group in the Heisenberg algebra
Quantum Algebra
2009-10-31 v1
Abstract
E(2) is studied as the automorphism group of the Heisenberg algebra H. The basis in the Hilbert space K of functions on H on which the unitary irreducible representations of the group are realized is explicitely constructed. The addition theorem for the Kummer functions is derived.
Cite
@article{arxiv.math/0002063,
title = {Unitary representations of the 2-dimensional Euclidean group in the Heisenberg algebra},
author = {H. Ahmedov and I. H. Duru},
journal= {arXiv preprint arXiv:math/0002063},
year = {2009}
}
Comments
Latex, 6 pp