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Czechoslovak Journal of Physics

Aspects of Pre-quantum Description of Deformed Theories

Andrzej Frydryszak, V. M. Tkachuk

Published Nov 1, 2003• 25 citations
Publisher
DOI
10.1023/b:cjop.0000010529.32268.03

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In this paper Quantum Mechanics with Fundamental Length is built as a deformation of Quantum Mechanics. To this aim an approach is used which does not take into account commutator deformation as usually it is done, but density matrix deformation. The corresponding deformed density matrix, which is called density pro-matrix is given explicitly. It properties have been investigated as well as some dynamical aspects of the theory. In particular, the deformation of Liouville equation is analyzed in detail. It was shown that Liouville equation in Quantum Mechanics appears as a low energy limit of deformed Liouville equation in Quantum Mechanics with Fundamental Length. Some implications of obtained results are presented as well as their application to the calculation of black hole entropy.