1.

Record Nr.

UNINA9910780906203321

Autore

Mazzucchi Sonia

Titolo

Mathematical Feynman path integrals and their applications [[electronic resource] /] / Sonia Mazzucchi

Pubbl/distr/stampa

New Jersey ; ; Hong Kong, : World Scientific, c2009

ISBN

1-282-44302-X

9786612443022

981-283-691-8

Descrizione fisica

1 online resource (225 p.)

Disciplina

519

530.12

Soggetti

Feynman integrals

Feynman diagrams

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

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

Nota di contenuto

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

Sommario/riassunto

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