On the connection between quantum and classical descriptions

The review paper presents generalization of d’Alembert’s variational principle: the dynamics of a quantum system for an external observer is defined by the exact equilibrium of all acting in the system forces, including the random quantum force ħj , ∀ ħ . Spatial attention is dedicated to the system...

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Bibliographic Details
Published in:Physics of particles and nuclei 2012-07, Vol.43 (4), p.523-556
Main Author: Manjavidze, J.
Format: Article
Language:English
Subjects:
DEGREES OF FREEDOM
ELEMENTARY PARTICLES
Particle and Nuclear Physics
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
QUANTUM SYSTEMS
S MATRIX
SYMMETRY
VARIATIONAL METHODS
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Summary:The review paper presents generalization of d’Alembert’s variational principle: the dynamics of a quantum system for an external observer is defined by the exact equilibrium of all acting in the system forces, including the random quantum force ħj , ∀ ħ . Spatial attention is dedicated to the systems with (hidden) symmetries. It is shown how the symmetry reduces the number of quantum degrees of freedom down to the independent ones. The sin-Gordon model is considered as an example of such field theory with symmetry. It is shown why the particles S -matrix is trivial in that model.
ISSN:1063-7796
1531-8559
DOI:10.1134/S1063779612040053