Unitary representations of the two-dimensional Euclidean group in the Heisenberg algebra
Open Access
- 2 June 2000
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 33 (23) , 4277-4281
- https://doi.org/10.1088/0305-4470/33/23/305
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 explicitly constructed. The addition theorem for the Kummer functions is derived.Keywords
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