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arXiv · 0903.3816

On the uniqueness of the unitary representations of the non commutative Heisenberg-Weyl algebra

Laure Gouba·Frederik G. Scholtz
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Abstract

In this paper we discuss the uniqueness of the unitary representations of the non commutative Heisenberg-Weyl algebra. We show that, apart from a critical line for the non commutative position and momentum parameters, the Stone-von Neumann theorem still holds, which implies uniqueness of the unitary representation of the Heisenberg-Weyl algebra.

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Laure Gouba, Frederik G. Scholtz. 2009-03-23. On the uniqueness of the unitary representations of the non commutative Heisenberg-Weyl algebra. https://doi.org/10.1139/p09-055

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