From Brownian motion to Schrödinger's equation
著者
書誌事項
From Brownian motion to Schrödinger's equation
（Die Grundlehren der mathematischen Wissenschaften, 312）
Springer-Verlag, c1995
- : gw
- : us
大学図書館所蔵 件 / 全104件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. [281]-284) and index
内容説明・目次
内容説明
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.
目次
1. Preparatory Material.- 2. Killed Brownian Motion.- 3. Schroedinger 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.
「Nielsen BookData」 より
