Sergi, Alessandro (2005) Non-Hamiltonian Commutators in Quantum Mechanics. Physical Review E. (Submitted)
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The symplectic structure of quantum commutators is first unveiled and then exploited
to introduce generalized non-Hamiltonian brackets in quantum mechanics.
It is easily recognized that quantum-classical systems
are described by a particular realization of such a bracket.
In light of previous work, this introduces
a unified approach to classical and
quantum-classical non-Hamiltonian dynamics.
In order to illustrate the use
of non-Hamiltonian commutators, it is shown how to define
thermodynamic constraints in quantum-classical systems.
In particular, quantum-classical Nose-Hoover equations of motion
and the associated stationary density matrix are derived.
The non-Hamiltonian commutators for both Nose-Hoover chains
and Nose-Andersen (constant-pressure constant temperature)
dynamics are also given.
Perspectives of the formalism are discussed.
|Additional Information:||Submitted to Physical Review E on August 8 2005|
|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:||14 Nov 2005|
|Last Modified:||13 Apr 2010 13:19|
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