Titlebook: Geometric Quantization and Quantum Mechanics; J?drzej ?niatycki Book 1980 Springer-Verlag New York Inc. 1980 Quantenmechanik.Quantisierung

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Rilka Dragneva,Kataryna WolczukThe phase space description of classical mechanics due to Hamilton is the starting point of the geometric quantization scheme. A brief review of Hamiltonian dynamics, formulated in the language of differential geometry, is given here in order to establish the notation.

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EU Influence Beyond ConditionalityThe phase space χ of a single particle is isomorphic to R.. An isomorphism χ→R. is defined by the components q., q., q. of the position vector . and the components p., p., p. the linear momentum . with respect to some inertial frame. The Lagrange bracket is given by

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Quantization,We describe here the process of quantizing functions f on (X, ω) which generate one-parameter groups ?.. of canonical transformations such that the pair (.?. .(F), F) of polarizations is strongly admissible.

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,Schr?dinger Representation,The phase space χ of a single particle is isomorphic to R.. An isomorphism χ→R. is defined by the components q., q., q. of the position vector . and the components p., p., p. the linear momentum . with respect to some inertial frame. The Lagrange bracket is given by