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

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

2009-03-23

arxiv.org/abs/0903.3816v1

Physics

Mathematical Physics

4 pages

Scientific paper

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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