Messanae Universitas Studiorum

Quantum-Classical Dynamics of Wave Fields

Sergi, Alessandro (2006) Quantum-Classical Dynamics of Wave Fields. arXiv:quant-ph/0511229. (Unpublished)

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    The recent approach to the quantum-classical mechanics of
    phase space dependent operators is recast
    into a formalism for wave fields.
    It turns out that such wave fields
    obey a system of coupled non-linear equations where
    each equation is not Hermitian. However,
    backward and forward time-evolution
    is combined in such a way as to conserve probability.
    Notwithstanding their non-linear form, the equations of motion
    for such phase space dependent wave fields can be
    expressed by means of a suitable non-Hamiltonian bracket.
    Thus, it can be realized that the non-Hamiltonian dynamics of
    quantum-classical wave fields is a straightforward
    generalization of the formalism for non-linear
    quantum mechanics that Weinberg proposed recently.

    Item Type: Other
    Additional Information: Revised version of the paper, previously untitled: "Non-Hamiltonian Quantum Mechanics. Relation between operator and wave schemes of motion".
    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: 12 May 2006
    Last Modified: 13 Apr 2010 13:17

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