Density matrix and dynamical aspects of Quantum Mechanics with Fundamental Length

Details Density matrix and dynamical aspects of Quantum Mechanics with Fundamental Length Density matrix and dynamical aspects of Quantum Mechanics with Fundamental Length

2002-11-25

arxiv.org/abs/gr-qc/0211083v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, Latex,some corrections of the section 2

Scientific paper

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.

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