Quantum geometry of symbols and operators

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Abstract

A coordinate-invariant scheme of geometrical quantization in the nondegenerate case and in the presence of constraints is proposed. No additional variables are introduced. In both cases, the explicit formula of associative *-multiplication of symbols is found. The operators are assigned to symbols and vice versa. A geometrically adequate version of canonical commutation relations in the nondegenerate case and their Dirac analogue in the presence of constraints are found. © 1990.

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APA

Batalin, I. A., & Tyutin, I. V. (1990). Quantum geometry of symbols and operators. Nuclear Physics, Section B, 345(2–3), 645–658. https://doi.org/10.1016/0550-3213(90)90403-Z

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