A quantum-classical theory with nonlinear and stochastic dynamics

The method of constrained dynamical systems on the quantum-classical phase space is utilized to develop a theory of quantum-classical hybrid systems. Effects of the classical degrees of freedom on the quantum part are modeled using an appropriate constraint, and the interaction also includes the eff...

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Bibliographic Details
Published inPhysica scripta Vol. T163; no. 1; pp. 14003 - 14006
Main Authors Buri, N, Popovi, D B, Radonji, M, Prvanovi, S
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2014
Subjects
degrees of freedom
hybrid theory
quantum-classical systems
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Summary:The method of constrained dynamical systems on the quantum-classical phase space is utilized to develop a theory of quantum-classical hybrid systems. Effects of the classical degrees of freedom on the quantum part are modeled using an appropriate constraint, and the interaction also includes the effects of neglected degrees of freedom. Dynamical law of the theory is given in terms of nonlinear stochastic differential equations with Hamiltonian and gradient terms. The theory provides a successful dynamical description of the collapse during quantum measurement.
Bibliography:Royal Swedish Academy of Sciences
ISSN:0031-8949
1402-4896
DOI:10.1088/0031-8949/2014/T163/014003