Path Integrals For Stochastic Processes: An Introduction

Autor: Horacio S. Wio

Jazyk:

Väzba: Pevná

Vydavateľ: World Scientific Publishing Co Pte Ltd

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This book provides an introductory albeit solid presentation of path integration techniques as appli...

Informácie o knihe

Autor

Horacio S. Wio

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2013

Stránok

176

EAN

9789814447997

ISBN

9814447994

Enbook ID

05070891

Vydavateľ

World Scientific Publishing Co Pte Ltd

Hmotnosť

430

Rozmery

235 x 156 x 17

Kompletný popis

This book provides an introductory albeit solid presentation of path integration techniques as applied to the field of stochastic processes. The subject began with the work of Wiener during the 1920's, corresponding to a sum over random trajectories, anticipating by two decades Feynman's famous work on the path integral representation of quantum mechanics. However, the true trigger for the application of these techniques within nonequilibrium statistical mechanics and stochastic processes was the work of Onsager and Machlup in the early 1950's. The last quarter of the 20th century has witnessed a growing interest in this technique and its application in several branches of research, even outside physics (for instance, in economy). The aim of this book is to offer a brief but complete presentation of the path integral approach to stochastic processes. It could be used as an advanced textbook for graduate students and even ambitious undergraduates in physics. It describes how to apply these techniques for both Markov and non-Markov process. The path expansion (or semiclassical approximation) is discussed and adapted to the stochastic context. Also, some examples of nonlinear transformations and some applications are discussed, as well as examples of rather unusual applications. An extensive bibliography is included. The book is detailed enough to capture the interest of the curious reader, and complete enough to provide a solid background to explore the research literature and start exploiting the learned material in real situations.

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Path Integrals For Stochastic Processes: An Introduction

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