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1999•International Journal of Modern Physics ARequires access

GEOMETRIC QUANTIZATION OF FIELD THEORY ON CURVED SPACE–TIME

M. W. Kalinowski, Włodzimierz Piechocki

Open publisher page 5 citations

Abstract

A symplectic structure of classical field theory and its application to the canonical geometric quantization procedure are presented. The developed formalism can be treated in two ways: as a prequantization procedure in the usual sense or as a quantization procedure in a stochastic quantum mechanics approach on a phase space.

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What this paper is about

A symplectic structure of classical field theory and its application to the canonical geometric quantization procedure are presented. The developed formalism can be treated in two ways: as a prequantization procedure in the usual sense or as a quantization procedure in a stochastic quantum mechanics approach on a phase space.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A symplectic structure of classical field theory and its application to the canonical geometric quantization procedure are presented. The developed formalism can be treated in two ways: as a prequantization procedure in the usual sense or as a quantization procedure in a stochastic quantum mechanics approach on a phase space.

Key concepts: Geometric quantization, Quantization (signal processing), Physics, Canonical quantization, Symplectic geometry, Phase space, Formalism (music), Classical mechanics

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