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 wil be shown that the star product in berezin quantization is equivalent to the Posson bracket on coherent states manifold M, embodded in P(H), and the Berezin method is used to define a classical limit for geometric quantum mechnics. 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 tow piosson algebras.
R. Roknizadeh, (2019). Geometric formulation of Berezin deformation quantization. Iranian Journal of Physics Research, 3(2), 139-151.
MLA
R. Roknizadeh, . "Geometric formulation of Berezin deformation quantization", Iranian Journal of Physics Research, 3, 2, 2019, 139-151.
HARVARD
R. Roknizadeh (2019). 'Geometric formulation of Berezin deformation quantization', Iranian Journal of Physics Research, 3(2), pp. 139-151.
CHICAGO
R. Roknizadeh, "Geometric formulation of Berezin deformation quantization," Iranian Journal of Physics Research, 3 2 (2019): 139-151,
VANCOUVER
R. Roknizadeh Geometric formulation of Berezin deformation quantization. Dear user; Recently we have changed our software to Sinaweb. If you had already registered with the old site, you may use the same USERNAME but you need to change your password. To do so at the first use, please choose, 2019; 3(2): 139-151.
