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 (Unpublished)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.

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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
Depositing User: Dr Alessandro Sergi
Date Deposited: 12 May 2006
Last Modified: 13 Apr 2010 11:17

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