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
    Divisions: UNSPECIFIED
    Depositing User: Dr Alessandro Sergi
    Date Deposited: 23 Nov 2005
    Last Modified: 13 Apr 2010 13:19
    URI: http://cab.unime.it/mus/id/eprint/351

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