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

＜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
出版情報	Dordrecht : Kluwer Academic Press , 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
電子版へのリンク	https://hdl.handle.net/2324/6878612

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
		理系図3F 数理独自	PRYK/10/1	c1998		023211998005068		予約・取寄			予約・取寄

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