The quantum double as quantum mechanics

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The Quantum Double as Quantum Mechanics

We introduce ∗-structures on braided groups and braided matrices. Using this, we show that the quantum double D(Uq(su2)) can be viewed as the quantum algebra of observables of a quantum particle moving on a hyperboloid in q-Minkowski space (a three-sphere in the Lorentz metric), and with the role of angular momentum played by Uq(su2). This provides a new example of a quantum system whose algebr...

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ژورنال

عنوان ژورنال: Journal of Geometry and Physics

سال: 1994

ISSN: 0393-0440

DOI: 10.1016/0393-0440(94)90026-4