Wio Horacio Sergio Path Integrals For Stochastic Processes: An Introduction 9789814447997

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Автор: Wio Horacio Sergio
Название: Path Integrals For Stochastic Processes: An Introduction
ISBN: 9789814447997
Издательство: World Scientific Publishing
Классификация:

Статистическая физика

ISBN-10: 9814447994
Обложка/Формат: Hardback
Страницы: 176
Вес: 0.43 кг.
Дата издания: 18.03.2013
Серия: Mathematics
Язык: English
Иллюстрации: Black & white illustrations
Размер: 156 x 235 x 17
Читательская аудитория: Postgraduate, research & scholarly
Ключевые слова: Statistical physics, MATHEMATICS / Probability & Statistics / General,MATHEMATICS / Probability & Statistics / Stochastic,SCIENCE / Physics / Mathematical & Computational
Основная тема: Physics / Statistical Physics, Complexity And Nonlinear Dynamical Systems (Including Heat And Thermodynamics)
Подзаголовок: An introduction
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: 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 1920s, corresponding to a sum over random trajectories, anticipating by two decades Feynmans 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 1950s. 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 processes. 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. remove

Path Integrals For Stochastic Processes: An Introduction, Wio Horacio Sergio