Sergi, Alessandro (2005) Non-Hamiltonian Quantum Mechanics.
Relation between operator and wave schemes of motion. Physical Review A. (Submitted)
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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,
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.
|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 13:19|
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