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
Depositing User: Dr Alessandro Sergi
Date Deposited: 02 Dec 2005
Last Modified: 13 Apr 2010 11:19
URI: http://cab.unime.it/mus/id/eprint/354

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