Messanae Universitas Studiorum

Statistical Mechanics of Quantum-Classical Systems with Holonomic Constraints

Sergi, Alessandro (2005) Statistical Mechanics of Quantum-Classical Systems with Holonomic Constraints. Journal of Chemical Physics. (Submitted)

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Abstract

The statistical mechanics of quantum-classical systems with holonomic constraints is formulated rigorously by unifying the classical Dirac bracket and the quantum-classical bracket in matrix form. The resulting Dirac quantum-classical theory, which conserves the holonomic constraints exactly, is then used to formulate time evolution and statistical mechanics. The correct momentum-jump approximation for constrained system arises naturally from this formalism. Finally, in analogy with what was found in the classical case, it is shown that the rigorous linear response function of constrained quantum-classical systems contains non-trivial additional terms which are absent in the response of unconstrained systems.

Item Type: Other
Additional Information: Submitted to Journal of Chemical Physics
Subjects: M.U.S. - Contributi Scientifici > 01 - Scienze matematiche e informatiche
M.U.S. - Contributi Scientifici > 02 - Scienze fisiche
Depositing User: Dr Alessandro Sergi
Date Deposited: 23 Nov 2005
Last Modified: 13 Apr 2010 11:19
URI: http://cab.unime.it/mus/id/eprint/351

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