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Annals of Physics
Article
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arXiv.org e-Print Archive
Preprint . 2001
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Annals of Physics
Article . 2002 . Peer-reviewed
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Article . 2002
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https://dx.doi.org/10.48550/ar...
Article . 2001
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Semiclassical Symmetries

Semiclassical symmetries.
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Feb 2002Embargo end date: 01 Jan 2001 English Publisher:Elsevier BVJournal:Annals of Physics, volume 296, pages 51-89 (issn: 0003-4916, Copyright policy )
Authors: Shvedov, O. Yu.;

doi: 10.1006/aphy.2001.6204 , 10.48550/arxiv.math-ph/0109016

arXiv: math-ph/0109016

Semiclassical Symmetries

Abstract

Essential properties of semiclassical approximation for quantum mechanics are viewed as axioms of an abstract semiclassical mechanics. Its symmetry properties are discussed. Semiclassical systems being invariant under Lie groups are considered. An infinitesimal analog of group relation is written. Sufficient conditions for reconstructing semiclassical group transformations (integrability of representation of Lie algebra) are discussed. The obtained results may be used for mathematical proof of Poincare invariance of semiclasical Hamiltonian field theory and for investigation of quantum anomalies.

LaTeX, 33 pages

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Keywords

FOS: Physical sciences, Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
Green
bronze