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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Dedicated to Professor Margarita A. Man’ko, a shining example of a scientist, on the occasion of her 70th birthday.
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Aniello, P. On the notion of Weyl system. J Russ Laser Res 31, 102–116 (2010). https://doi.org/10.1007/s10946-010-9130-x
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DOI: https://doi.org/10.1007/s10946-010-9130-x