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

H. Ahmedov·I. H. Duru
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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.

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H. Ahmedov, I. H. Duru. 2000-02-09. Unitary representations of the 2-dimensional Euclidean group in the Heisenberg algebra. https://doi.org/10.1088/0305-4470%2F33%2F23%2F305

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