Messanae Universitas Studiorum

Non-Hamiltonian Commutators in Quantum Mechanics

Sergi, Alessandro (2005) Non-Hamiltonian Commutators in Quantum Mechanics. Physical Review E. (Submitted)

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    Abstract

    The symplectic structure of quantum commutators is first unveiled and then exploited
    to introduce generalized non-Hamiltonian brackets in quantum mechanics.
    It is easily recognized that quantum-classical systems
    are described by a particular realization of such a bracket.
    In light of previous work, this introduces
    a unified approach to classical and
    quantum-classical non-Hamiltonian dynamics.
    In order to illustrate the use
    of non-Hamiltonian commutators, it is shown how to define
    thermodynamic constraints in quantum-classical systems.
    In particular, quantum-classical Nos\'e-Hoover equations of motion
    and the associated stationary density matrix are derived.
    The non-Hamiltonian commutators for both Nos\'e-Hoover chains
    and Nos\'e-Andersen (constant-pressure constant temperature)
    dynamics are also given.
    Perspectives of the formalism are discussed.

    Item Type: Other
    Additional Information: Submitted to Physical Review E on August 8 2005
    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: 14 Nov 2005
    Last Modified: 13 Apr 2010 13:19
    URI: http://cab.unime.it/mus/id/eprint/348

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