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Aspects of Pre-quantum Description of Deformed Theories
Authors:Andrzej M. Frydryszak  Volodymyr M. Tkachuk
Affiliation:(1) Institute of Theoretical Physics, University of Wroclaw, pl. M. Borna 9, 50-204 Wroclaw, Poland;(2) Ivan Franko Lviv National University, 12 Drahomanov Str., Lviv, UA-79005, Ukraine
Abstract:We discuss deformations of the classical systems in the phase space and show that one can use non-canonical transformations to relate regular and deformed models. On the other hand some of the models can be obtained as a classical limit of the deformed quantum models, i.e. as the result of the dequantization procedure. Nonrelativistic deformations are described.
Keywords:deformations  Heisenberg algebra  Hamiltonian formalism  symmetries
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