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

Preprint

9 February 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0002063

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.

Keywords

UNITARY REPRESENTATIONS
DIMENSIONAL EUCLIDEAN
HEISENBERG ALGEBRA
EUCLIDEAN GROUP
HILBERT SPACE
SPACE

All Related Versions

Version 1, 2000-02-09, ArXiv
Published version: Journal of Physics A: General Physics, 33 (23), 4277.

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