On the structure of quantum phase space

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1990-12-01

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Aldrovandi, Ruben [UNESP]
Galetti, Diogenes [UNESP]

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The space of labels characterizing the elements of Schwinger's basis for unitary quantum operators is endowed with a structure of symplectic type. This structure is embodied in a certain algebraic cocycle, whose main features are inherited by the symplectic form of classical phase space. In consequence, the label space may be taken as the quantum phase space: It plays, in the quantum case, the same role played by phase space in classical mechanics, some differences coming inevitably from its nonlinear character. © 1990 American Institute of Physics.

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Journal of Mathematical Physics, v. 31, n. 12, p. 2987-2995, 1990.