Mathematical Feynman path integrals and their applications
著者
書誌事項
Mathematical Feynman path integrals and their applications
World Scientific, c2022
2nd ed
- : hardcover
大学図書館所蔵 件 / 全9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. 323-341) and index
内容説明・目次
内容説明
Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics.This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added.This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists.
目次
- Introduction
- A Unified View of Infinite Dimensional Integration
- Infinite Dimensional Oscillatory Integrals
- Feynman Path Integrals and the Schroedinger Equation
- The Stationary Phase Method and the Semiclassical Limit of Quantum Mechanics
- Beyond Schroedinger Equation. Further Applications of Feynman Integration
- Approaches to Feynman Path Integration
- Appendix
「Nielsen BookData」 より