Physics – Quantum Physics
Scientific paper
2005-11-08
Physics
Quantum Physics
Submitted to Phys. Rev. E on August 8 2005
Scientific paper
10.1103/PhysRevE.72.066125
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.
No associations
LandOfFree
Non-Hamiltonian Commutators in Quantum Mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Non-Hamiltonian Commutators in Quantum Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Hamiltonian Commutators in Quantum Mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-294260