Mathematical Feynman path integrals and their applications / Sonia Mazzucchi.

Format:

Book

Author/Creator:

Mazzucchi, Sonia.

Language:

English

Subjects (All):

Feynman integrals.

Feynman diagrams.

Physical Description:

1 online resource (225 p.)

Edition:

1st ed.

Place of Publication:

New Jersey ; Hong Kong : World Scientific, c2009.

Language Note:

English

Summary:

Although more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a formidable instrument of theoretical physics, but also a mathematical challenge; in fact, several mathematicians in the last 40 years have devoted their efforts to the rigorous mathematical definition of Feynman's ideas. This volume provides a detailed, self-contained description of the mathematical difficulties as well as the possible techniques used to solve these difficulties. In particular, it gives a complete overview of the mathem

Contents:

Preface; Contents; 1. Introduction; 2. Infinite Dimensional Oscillatory Integrals; 3. Feynman Path Integrals and the Schr odinger Equation; 4. The Stationary Phase Method and the Semiclassical Limit of Quantum Mechanics; 5. Open Quantum Systems; 6. Alternative Approaches to Feynman Path Integration; Appendix A Abstract Wiener Spaces; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 197-213) and index.

ISBN:

9786612443022

9781282443020

128244302X

9789812836915

9812836918

OCLC:

613396809