GEOMETRIC FORMULATION OF BEREZIN DEFORMATION QUANTIZATION

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ROKNIZADEH R.

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Journal: Iranian Journal of Physics Research Year:2002 | Volume:3 | Issue:2 Page(s): 139-151

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Information Journal Paper

Title

GEOMETRIC FORMULATION OF BEREZIN DEFORMATION QUANTIZATION

Author(s)

ROKNIZADEH R. | Issue Writer Certificate

Keywords

BEREZIN QUANTIZATIONQ4

GEOMETRIC QUANTUM MECHANICSQ4

DEFORMATION QUANTIZATIONQ4

Abstract

In this paper we try to formulate the BEREZIN QUANTIZATION on projective Hilbert space P(H) and use its geometric structure to construct a correspondence between a given classical theory and a given quantum theory. It will be shown that the star product in BEREZIN QUANTIZATION is equivalent to the Poisson bracket on coherent states manifold M, embedded in P(H), and the Berezin method is used to define a classical limit for GEOMETRIC QUANTUM MECHANICS. With this construction to all of the quantum observables are associated their covariant symbols, which form a poisson algebra on P(H) and since the corresponding classical phase space has a natural Poisson structure, the BEREZIN QUANTIZATION is then a systematic procedure to relate these two piosson algebras.

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APA: Copy

ROKNIZADEH, R.. (2002). GEOMETRIC FORMULATION OF BEREZIN DEFORMATION QUANTIZATION. IRANIAN JOURNAL OF PHYSICS RESEARCH, 3(2), 139-151. SID. https://sid.ir/paper/1760/en

Vancouver: Copy

ROKNIZADEH R.. GEOMETRIC FORMULATION OF BEREZIN DEFORMATION QUANTIZATION. IRANIAN JOURNAL OF PHYSICS RESEARCH[Internet]. 2002;3(2):139-151. Available from: https://sid.ir/paper/1760/en

IEEE: Copy

R. ROKNIZADEH, “GEOMETRIC FORMULATION OF BEREZIN DEFORMATION QUANTIZATION,” IRANIAN JOURNAL OF PHYSICS RESEARCH, vol. 3, no. 2, pp. 139–151, 2002, [Online]. Available: https://sid.ir/paper/1760/en

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