Unitary representations of the 2-dimensional Euclidean group in the Heisenberg algebra

Details Unitary representations of the 2-dimensional Euclidean group in the Heisenberg algebra Unitary representations of the 2-dimensional Euclidean group in the Heisenberg algebra

2000-02-09

arxiv.org/abs/math/0002063v1

J. Phys. A: Math. Gen. 33 (2000) 4277

Mathematics

Quantum Algebra

Latex, 6 pp

Scientific paper

10.1088/0305-4470/33/23/305

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.

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