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

Available Versions of this Item

• Non-Hamiltonian Quantum Mechanics. Relation between operator and wave schemes of motion. (deposited 02 Dec 2005) [Currently Displayed]
  • Quantum-Classical Dynamics of Wave Fields. (deposited 12 May 2006)
    • Quantum-Classical Dynamics of Wave Fields. (deposited 13 Feb 2007)

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