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<図書>
Algebraic integrability of nonlinear dynamical systems on manifolds : classical and quantum aspects

責任表示 by Anatoliy K. Prykarpatsky and Ihor V. Mykytiuk
シリーズ Mathematics and its applications ; v. 443
データ種別 図書
出版者 Dordrecht : Kluwer Academic Press
出版年 c1998
本文言語 英語
大きさ 553 p. ; 25 cm
概要 Noting that their research is not yet completed, Prykarpatsky (mathematics, U. of Mining and Metallurgy, Cracow, Poland and mechanics and mathematics, NAS, Lviv, Ukraine) and Mykytiuk (mechanics and m...thematics, NAS and Lviv Polytechnic State U., Ukraine) describe some of the ideas of Lie algebra that underlie many of the comprehensive integrability theories of nonlinear dynamical systems on manifolds. For each case they analyze, they separate the basic algebraic essence responsible for the complete integrability and explore how it is also in some sense characteristic for all of them. They cover systems with homogeneous configuration spaces, geometric quantization, structures on manifolds, algebraic methods of quantum statistical mechanics and their applications, and algebraic and differential geometric aspects related to infinite-dimensional functional manifolds. They have not indexed their work. Annotation copyrighted by Book News, Inc., Portland, OR続きを見る

所蔵情報


理系図3F 数理独自 023211998005068 PRYK/10/1 c1998

書誌詳細

一般注記 Includes bibliographical references
著者標目 *Prikarpatskiĭ, A. K
Mikiti︠u︡k, I. V
件 名 LCSH:Manifolds (Mathematics)
LCSH:Quantum statistics
LCSH:Dynamics
LCSH:Nonlinear theories
LCSH:Mathematical physics
分 類 LCC:QC20.7.M24
DC21:516/.07
書誌ID 1001400113
ISBN 0792350901
NCID BA36739808
巻冊次 ISBN:0792350901
登録日 2009.11.02
更新日 2009.11.02

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