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Title: Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds

Abstract

The obstruction to the existence of global action-angle coordinates of Abelian and noncommutative (non-Abelian) completely integrable systems with compact invariant submanifolds has been studied. We extend this analysis to the case of noncompact invariant submanifolds.

Authors:
;  [1];  [2]
  1. Department of Mathematics and Informatics, University of Camerino, 62032 Camerino, Macerata (Italy)
  2. (Russian Federation)
Publication Date:
OSTI Identifier:
20929667
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 3; Other Information: DOI: 10.1063/1.2713079; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMMUTATION RELATIONS; COORDINATES; GAUGE INVARIANCE; INTEGRAL CALCULUS; QUANTUM FIELD THEORY

Citation Formats

Fiorani, E., Sardanashvily, G., and Department of Theoretical Physics, Moscow State University, 117234 Moscow. Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds. United States: N. p., 2007. Web. doi:10.1063/1.2713079.
Fiorani, E., Sardanashvily, G., & Department of Theoretical Physics, Moscow State University, 117234 Moscow. Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds. United States. doi:10.1063/1.2713079.
Fiorani, E., Sardanashvily, G., and Department of Theoretical Physics, Moscow State University, 117234 Moscow. Thu . "Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds". United States. doi:10.1063/1.2713079.
@article{osti_20929667,
title = {Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds},
author = {Fiorani, E. and Sardanashvily, G. and Department of Theoretical Physics, Moscow State University, 117234 Moscow},
abstractNote = {The obstruction to the existence of global action-angle coordinates of Abelian and noncommutative (non-Abelian) completely integrable systems with compact invariant submanifolds has been studied. We extend this analysis to the case of noncompact invariant submanifolds.},
doi = {10.1063/1.2713079},
journal = {Journal of Mathematical Physics},
number = 3,
volume = 48,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}