Probabilistic Methods in Quantum Field Theory and Quantum Gravity

Probabilistic Methods in Quantum Field Theory and Quantum Gravity
Author: Poul Henrik Damgaard
Publisher: Springer
Total Pages: 374
Release: 2012-10-31
Genre: Science
ISBN: 9781461366867

From August 21 through August 27, 1989 the Nato Advanced Research Workshop Probabilistic Methods in Quantum Field Theory and Quantum Gravity" was held at l'Institut d'Etudes Scientifiques, Cargese, France. This publication is the Proceedings of this workshop. The purpose of the workshop was to bring together a group of scientists who have been at the forefront of the development of probabilistic methods in Quantum Field Theory and Quantum Gravity. The original thought was to put emphasis on the introduction of stochastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of stochastic numerical methods. During the final preparation of the meeting we broadened the scope to include all those Euclidean Quantum Field Theory descriptions that make direct reference to concepts from probability theory and statistical mechanics. Several of the main contributions centered around a more rigorous discussion of stochastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic stochastic quantization scheme developed in 1981 by Parisi and Wu: Stochastic quan tization, its intrinsic BRST -structure and stochastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.

Probabilistic Methods in Quantum Field Theory and Quantum Gravity

Probabilistic Methods in Quantum Field Theory and Quantum Gravity
Author: Poul Henrik Damgaard
Publisher: Springer Science & Business Media
Total Pages: 382
Release: 2012-12-06
Genre: Science
ISBN: 1461537843

From August 21 through August 27, 1989 the Nato Advanced Research Workshop Probabilistic Methods in Quantum Field Theory and Quantum Gravity" was held at l'Institut d'Etudes Scientifiques, Cargese, France. This publication is the Proceedings of this workshop. The purpose of the workshop was to bring together a group of scientists who have been at the forefront of the development of probabilistic methods in Quantum Field Theory and Quantum Gravity. The original thought was to put emphasis on the introduction of stochastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of stochastic numerical methods. During the final preparation of the meeting we broadened the scope to include all those Euclidean Quantum Field Theory descriptions that make direct reference to concepts from probability theory and statistical mechanics. Several of the main contributions centered around a more rigorous discussion of stochastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic stochastic quantization scheme developed in 1981 by Parisi and Wu: Stochastic quan tization, its intrinsic BRST -structure and stochastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.

Stochastic Methods in Quantum Mechanics

Stochastic Methods in Quantum Mechanics
Author: Stanley P. Gudder
Publisher: Courier Corporation
Total Pages: 242
Release: 2014-05-05
Genre: Science
ISBN: 0486149188

This introductory survey of stochastic methods and techniques in quantum physics, functional analysis, probability theory, communications, and electrical engineering also serves as a useful and comprehensive reference volume. 1979 edition.

Quantum Foundations, Probability and Information

Quantum Foundations, Probability and Information
Author: Andrei Khrennikov
Publisher: Springer
Total Pages: 304
Release: 2018-06-13
Genre: Science
ISBN: 3319749714

Composed of contributions from leading experts in quantum foundations, this volume presents viewpoints on a number of complex problems through informational, probabilistic, and mathematical perspectives and features novel mathematical models of quantum and subquantum phenomena. Rich with multi-disciplinary mathematical content, this book includes applications of partial differential equations in quantum field theory, differential geometry, oscillatory processes and vibrations, and Feynman integrals for quickly growing potential functions. Due to rapid growth in the field in recent years, this volume aims to promote interdisciplinary collaboration in the areas of quantum probability, information, communication and foundation, and mathematical physics. Many papers discuss complex yet novel problems that depart from the mainstream of quantum physical studies. Others devote explanation to fundamental problems of the conventional quantum theory, including its mathematical formalism. Overall, authors cover a diverse set of topics, including quantum and classical field theory and oscillatory processing, quantum mechanics from a Darwinian evolutionary perspective, and biological applications of quantum theory. Together in one volume, these essays will be useful to experts in the corresponding areas of quantum theory. Theoreticians, experimenters, mathematicians, and even philosophers in quantum physics and quantum probability and information theory can consider this book a valuable resource.

Quantum Mechanics and Quantum Field Theory

Quantum Mechanics and Quantum Field Theory
Author: Jonathan Dimock
Publisher: Cambridge University Press
Total Pages: 239
Release: 2011-02-03
Genre: Science
ISBN: 1139497480

Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.

Methods of Quantum Field Theory in Statistical Physics

Methods of Quantum Field Theory in Statistical Physics
Author: A. A. Abrikosov
Publisher: Courier Corporation
Total Pages: 383
Release: 2012-05-04
Genre: Science
ISBN: 0486140156

This comprehensive introduction to the many-body theory was written by three renowned physicists and acclaimed by American Scientist as "a classic text on field theoretic methods in statistical physics."

Probabilistic Methods In Mathematical Physics: Proceedings Of The International Workshop

Probabilistic Methods In Mathematical Physics: Proceedings Of The International Workshop
Author: Francesco Guerra
Publisher: World Scientific
Total Pages: 474
Release: 1992-07-17
Genre:
ISBN: 9814555061

The aim of the Workshop was to bring together scientists involved in approaching topical problems in mathematical physics by probabilistic methods. Main topics included: Kinetic Theory, Random Systems and Stochastic Mechanics, Nonequilibrium Statistical Mechanics, and Quantum Theory. The book will be an important source for researchers and graduate students in mathematical physics looking for an up to date survey of the subject.