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Open Quantum Systems Decoherence
Hamilton-Jacobi theory for Hamiltonian and non-Hamiltonian systems
arXiv
Authors: Sergey A. Rashkovskiy
Year
2017
Paper ID
7703
Status
Preprint
Abstract Read
~2 min
Abstract Words
88
Citations
N/A
Abstract
A generalization of the Hamilton-Jacobi theory to arbitrary dynamical systems, including non-Hamiltonian ones, is considered. The generalized Hamilton-Jacobi theory is constructed as a theory of ensemble of identical systems moving in the configuration space and described by the continual equation of motion and the continuity equation. For Hamiltonian systems, the usual Hamilton-Jacobi equations naturally follow from this theory. The proposed formulation of the Hamilton-Jacobi theory, as the theory of ensemble, allows interpreting in a natural way the transition from quantum mechanics in the Schrodinger's form to classical mechanics.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- A generalization of the Hamilton-Jacobi theory to arbitrary dynamical systems, including non-Hamiltonian ones, is considered.
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