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＜電子ブック＞
From Brownian Motion to Schrödinger’s Equation / by Kai L. Chung, Zhongxin Zhao
(Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics. ISSN:21969701 ; 312)

版	1st ed. 1995.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1995
本文言語	英語
大きさ	XII, 292 p : online resource
著者標目	*Chung, Kai L author Zhao, Zhongxin author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Functional analysis LCSH:Potential theory (Mathematics) LCSH:Mathematical physics FREE:Probability Theory FREE:Functional Analysis FREE:Potential Theory FREE:Theoretical, Mathematical and Computational Physics
一般注記	1. Preparatory Material -- 2. Killed Brownian Motion -- 3. Schrödinger Operator -- 4. Stopped Feynman-Kac Functional -- 5. Conditional Brownian Motion and Conditional Gauge -- 6. Green Functions -- 7. Conditional Gauge and q-Green function -- 8. Various Related Developments -- 9. The Case of One Dimension -- References In recent years, the study of the theory of Brownian motion has become a powerful tool in the solution of problems in mathematical physics. This self-contained and readable exposition by leading authors, provides a rigorous account of the subject, emphasizing the "explicit" rather than the "concise" where necessary, and addressed to readers interested in probability theory as applied to analysis and mathematical physics. A distinctive feature of the methods used is the ubiquitous appearance of stopping time. The book contains much original research by the authors (some of which published here for the first time) as well as detailed and improved versions of relevant important results by other authors, not easily accessible in existing literature HTTP:URL=https://doi.org/10.1007/978-3-642-57856-4

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