Perturbation theory for the Schrödinger operator with a periodic potential

＜図書＞
Perturbation theory for the Schrödinger operator with a periodic potential

責任表示	Yulia E. Karpeshina
シリーズ	Lecture notes in mathematics ; 1663
データ種別	図書
出版情報	Berlin : Springer-Verlag , c1997
本文言語	英語
大きさ	vii, 352 p., ill. ; 24 cm
概要	The book is devoted to perturbation theory for the Schr dinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely si...uated in a high energy region, so regular perturbation theory is ineffective. The mathematical difficulties have a physical nature - a complicated picture of diffraction inside the crystal. The author develops a new mathematical approach to this problem. It provides mathematical physicists with important results for this operator and a new technique that can be effective for other problems. The semiperiodic Schr dinger operator, describing a crystal with a surface, is studied. Solid-body theory specialists can find asymptotic formulae, which are necessary for calculating many physical values. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7005871

一般注記	Includes bibliographical references (p. [339]-349) and index (p. [351]-352)
著者標目	*Karpeshina, Yulia E., 1956-
件　名	LCSH:Schrödinger operator LCSH:Perturbation (Quantum dynamics) LCSH:Perturbation (Mathematics) LCSH:Mathematical physics
分　類	LCC:QC174.17.S3 DC21:515/.7242 NDC8:421.5
書誌ID	1000924474
ISBN	3540631364
NCID	BA31985782
巻冊次	ISBN:3540631364
登録日	2009.09.16
更新日	2017.02.18