On the uniqueness of unitary representations of the non-commutative Heisenberg–Weyl algebra
Keyword(s):
In this paper, we discuss the uniqueness of the unitary representations of the noncommutative Heisenberg–Weyl algebra. We show that, apart from a critical line for the noncommutative 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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pp. 83-88
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2013 ◽
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