On the notion of Weyl system |
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Authors: | Paolo Aniello |
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Institution: | 1.Dipartimento di Scienze Fisiche dell’Università di Napoli “Federico II” e Istituto Nazionale di Fisica Nucleare,Sezione di Napoli Facoltà di Scienze Biotecnologiche dell’Università di Napoli “Federico II” Complesso Universitario di Monte S. Angelo,Napoli,Italy |
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Abstract: | We review the standard notion of Weyl system, which stems from the Weyl formulation of the canonical commutation relations
of quantum mechanics, and propose an alternative definition based on the theory of projective representations. Next, we discuss
some conceptual advantages of this alternative definition. Finally, we introduce a notion of physical equivalence of group
representations and propose a further ‘purely conceptual’ definition of Weyl system based on this notion. |
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Keywords: | |
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