Sergi, Alessandro (2005) Non-Hamiltonian Commutators in Quantum Mechanics. Physical Review E. (Submitted)
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Abstract
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 Nos\'e-Hoover equations of motion
and the associated stationary density matrix are derived.
The non-Hamiltonian commutators for both Nos\'e-Hoover chains
and Nos\'e-Andersen (constant-pressure constant temperature)
dynamics are also given.
Perspectives of the formalism are discussed.
| Item Type: | Other |
|---|---|
| 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 11:19 |
| URI: | http://cab.unime.it/mus/id/eprint/348 |
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