General linear dynamics – quantum, classical or hybrid

We describe our recent proposal of a path integral formulation of classical Hamiltonian dynamics. Which leads us here to a new attempt at hybrid dynamics, which concerns the direct coupling of classical and quantum mechanical degrees of freedom. This is of practical as well as of foundational intere...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. Conference series 2011-01, Vol.306 (1), p.12010-7
Main Authors: Elze, H -T, Gambarotta, G, Vallone, F
Format: Article
Language:English
Subjects:
Degrees of freedom
Dynamics
Integrals
Joining
Mathematical analysis
Physics
Proposals
Quantum mechanics
Two dimensional
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We describe our recent proposal of a path integral formulation of classical Hamiltonian dynamics. Which leads us here to a new attempt at hybrid dynamics, which concerns the direct coupling of classical and quantum mechanical degrees of freedom. This is of practical as well as of foundational interest and no fully satisfactory solution of this problem has been established to date. Related aspects will be observed in a general linear ensemble theory, which comprises classical and quantum dynamics in the form of Liouville and von Neumann equations, respectively, as special cases. Considering the simplest object characterized by a two-dimensional state-space, we illustrate how quantum mechanics is special in several respects among possible linear generalizations.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/306/1/012010