Messanae Universitas Studiorum

Non-Hamiltonian Quantum Mechanics.
Relation between operator and wave schemes of motion

Sergi, Alessandro (2005) Non-Hamiltonian Quantum Mechanics.
Relation between operator and wave schemes of motion.
Physical Review A. (Submitted)

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    Abstract

    The symplectic structure of Weinberg's formalism for nonlinear
    quantum mechanics is first unveiled and then generalized
    to introduce non-Hamiltonian quantum mechanics.
    By exploiting the correspondence between wave
    and matrix mechanics, a link between this generalization
    and a non-Hamiltonian commutator, proposed recently by this author,
    is found.
    The general correspondence between operator and wave formalisms
    in non-Hamiltonian quantum mechanics
    is exploited to introduce a quantum-classical theory
    of wave fields.
    This can be considered as a first step toward a deeper
    understanding of the relation between operator quantum-classical
    mechanics, introduced some time ago, and the original
    quantum-classical scheme of motion where
    wave functions are evolved in time and
    the classical degrees of freedom follows
    surface-hopping trajectories on single quantum states.

    Item Type: Other
    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: 02 Dec 2005
    Last Modified: 13 Apr 2010 13:19
    URI: http://cab.unime.it/mus/id/eprint/354

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