Mathematical Feynman Path Integrals And Their Applications
Author:   Sonia Mazzucchi (Univ Di Trento, Italy)
Publisher:   World Scientific Publishing Co Pte Ltd
Edition:   Second Edition
ISBN:  

9789811214783


Pages:   360
Publication Date:   23 December 2021
Format:   Hardback
Availability:   In Print   Availability explained
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Mathematical Feynman Path Integrals And Their Applications


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Overview

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.

Full Product Details

Author:   Sonia Mazzucchi (Univ Di Trento, Italy)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Edition:   Second Edition
ISBN:  

9789811214783


ISBN 10:   9811214786
Pages:   360
Publication Date:   23 December 2021
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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;

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