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Reduction of Lie--Jordan algebras: Quantum (1309.4124v1)
Published 16 Sep 2013 in math-ph and math.MP
Abstract: In this paper we present a theory of reduction of quantum systems in the presence of symmetries and constraints. The language used is that of Lie--Jordan Banach algebras, which are discussed in some detail together with spectrum properties and the space of states. The reduced Lie--Jordan Banach algebra is characterized together with the Dirac states on the physical algebra of observables.
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