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Probabilistic Methods In Quantum Field Theory And Quantum Gravity
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Book Synopsis Probabilistic Methods in Quantum Field Theory and Quantum Gravity by : Poul Henrik Damgaard
Download or read book Probabilistic Methods in Quantum Field Theory and Quantum Gravity written by Poul Henrik Damgaard and published by Springer. This book was released on 2012-10-31 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Probabilistic Methods in Quantum Field Theory and Quantum Gravity by : Poul Henrilk Damgaard
Download or read book Probabilistic Methods in Quantum Field Theory and Quantum Gravity written by Poul Henrilk Damgaard and published by . This book was released on 1990 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Probabilistic Methods in Quantum Field Theory and Quantum Gravity by : Poul Henrik Damgaard
Download or read book Probabilistic Methods in Quantum Field Theory and Quantum Gravity written by Poul Henrik Damgaard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis FUNCTIONAL AND PROBABILISTIC METHODS IN QUANTUM FIELD THEORY- PROCEEDINGS OF THE 12TH WINTER SCHOOL OF THEORETICAL PHYSICS- INSTITUTE OF THEORETICAL PHYSICS, UNIVERSITY OF WROCLAW- 2 PARTS. by :
Download or read book FUNCTIONAL AND PROBABILISTIC METHODS IN QUANTUM FIELD THEORY- PROCEEDINGS OF THE 12TH WINTER SCHOOL OF THEORETICAL PHYSICS- INSTITUTE OF THEORETICAL PHYSICS, UNIVERSITY OF WROCLAW- 2 PARTS. written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Functional and Probabilistic Methods in Quantum Field Theory by :
Download or read book Functional and Probabilistic Methods in Quantum Field Theory written by and published by . This book was released on 1976 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Methods in Quantum Mechanics by : Stanley P. Gudder
Download or read book Stochastic Methods in Quantum Mechanics written by Stanley P. Gudder and published by Courier Corporation. This book was released on 2014-05-05 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Mechanics and Quantum Field Theory by : Jonathan Dimock
Download or read book Quantum Mechanics and Quantum Field Theory written by Jonathan Dimock and published by Cambridge University Press. This book was released on 2011-02-03 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Foundations, Probability and Information by : Andrei Khrennikov
Download or read book Quantum Foundations, Probability and Information written by Andrei Khrennikov and published by Springer. This book was released on 2018-06-13 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Methods of Quantum Field Theory in Statistical Physics by : A. A. Abrikosov
Download or read book Methods of Quantum Field Theory in Statistical Physics written by A. A. Abrikosov and published by Courier Corporation. This book was released on 2012-05-04 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
Book Synopsis Probabilistic Methods In Mathematical Physics: Proceedings Of The International Workshop by : Francesco Guerra
Download or read book Probabilistic Methods In Mathematical Physics: Proceedings Of The International Workshop written by Francesco Guerra and published by World Scientific. This book was released on 1992-07-17 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Theoretical Foundations of Quantum Mechanics by : Belal E. Baaquie
Download or read book The Theoretical Foundations of Quantum Mechanics written by Belal E. Baaquie and published by Springer Science & Business Media. This book was released on 2013-01-26 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theoretical Foundations of Quantum Mechanics addresses fundamental issues that are not discussed in most books on quantum mechanics. This book focuses on analyzing the underlying principles of quantum mechanics and explaining the conceptual and theoretical underpinning of quantum mechanics. In particular, the concepts of quantum indeterminacy, quantum measurement and quantum superposition are analyzed to clarify the concepts that are implicit in the formulation of quantum mechanics. The Schrodinger equation is never solved in the book. Rather, the discussion on the fundamentals of quantum mechanics is treated in a rigorous manner based on the mathematics of quantum mechanics. The new concept of the interplay of empirical and trans-empirical constructs in quantum mechanics is introduced to clarify the foundations of quantum mechanics and to explain the counter-intuitive construction of nature in quantum mechanics. The Theoretical Foundations of Quantum Mechanics is aimed at the advanced undergraduate and assumes introductory knowledge of quantum mechanics. Its objective is to provide a solid foundation for the reader to reach a deeper understanding of the principles of quantum mechanics.
Book Synopsis Quantum Probability by : Stanley P. Gudder
Download or read book Quantum Probability written by Stanley P. Gudder and published by Academic Press. This book was released on 2014-06-28 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism. Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles. The first two chapters survey the necessary background in quantum mechanics and probability theory and therefore the book is fairly self-contained, assuming only an elementary knowledge of linear operators in Hilbert space.
Book Synopsis Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory by : Roberto Fernandez
Download or read book Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory written by Roberto Fernandez and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simple random walks - or equivalently, sums of independent random vari ables - have long been a standard topic of probability theory and mathemat ical physics. In the 1950s, non-Markovian random-walk models, such as the self-avoiding walk,were introduced into theoretical polymer physics, and gradu ally came to serve as a paradigm for the general theory of critical phenomena. In the past decade, random-walk expansions have evolved into an important tool for the rigorous analysis of critical phenomena in classical spin systems and of the continuum limit in quantum field theory. Among the results obtained by random-walk methods are the proof of triviality of the cp4 quantum field theo ryin space-time dimension d (::::) 4, and the proof of mean-field critical behavior for cp4 and Ising models in space dimension d (::::) 4. The principal goal of the present monograph is to present a detailed review of these developments. It is supplemented by a brief excursion to the theory of random surfaces and various applications thereof. This book has grown out of research carried out by the authors mainly from 1982 until the middle of 1985. Our original intention was to write a research paper. However, the writing of such a paper turned out to be a very slow process, partly because of our geographical separation, partly because each of us was involved in other projects that may have appeared more urgent.
Download or read book Quantum Gravity written by Steff Jaywan and published by Dedona Publishing. This book was released on with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum gravity is a field of theoretical physics that aims to describe the gravitational force according to the principles of quantum mechanics. Key Concepts General relativity, developed by Albert Einstein, describes gravity as the curvature of spacetime caused by mass and energy. It works extremely well at large scales, such as in predicting planetary orbits and the behavior of black holes. On the other hand, quantum mechanics deals with the fundamental behavior of particles at the smallest scales, such as atoms and subatomic particles. It incorporates principles like wave-particle duality, quantization, and uncertainty. The Need for Quantum Gravity Despite their success, general relativity and quantum mechanics are fundamentally incompatible. General relativity treats gravity as a smooth, continuous field, while quantum mechanics relies on quantized fields and inherently probabilistic events. When attempting to describe situations where both quantum effects and strong gravitational effects are significant, such as in the vicinity of black holes or during the Big Bang, the theories conflict. Quantum gravity aims to unify these two frameworks. Approaches to Quantum Gravity Several approaches have been proposed to formulate a theory of quantum gravity. String theory proposes that fundamental particles are not point-like but instead one-dimensional "strings" that vibrate at different frequencies. This theory inherently includes gravity and attempts to unify all fundamental forces. Loop quantum gravity (LQG) focuses on quantizing spacetime itself, positing that spacetime has a discrete structure at the smallest scales and attempts to describe the quantum properties of spacetime directly, without relying on a background. Causal dynamical triangulations (CDT) is a method of simulating quantum spacetime by breaking it down into discrete, simplicial building blocks, like triangles or tetrahedra, and studying how these blocks combine to form spacetime. Asymptotic safety aims to define a quantum theory of gravity that remains consistent and finite at all energy scales by identifying a fixed point in the theory's parameter space where the theory remains predictive and well-behaved.
Book Synopsis Quantum Gravity by : Bertfried Fauser
Download or read book Quantum Gravity written by Bertfried Fauser and published by Springer Science & Business Media. This book was released on 2007-02-15 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with an overview of the different mathematical attempts to quantize gravity written by leading experts in this field. Also discussed are the possible experimental bounds on quantum gravity effects. The contributions have been strictly refereed and are written in an accessible style. The present volume emerged from the 2nd Blaubeuren Workshop "Mathematical and Physical Aspects of Quantum Gravity".
Book Synopsis Functional and Probabilistic Methods in Quantum Field Theory by : Bernard Jancewicz
Download or read book Functional and Probabilistic Methods in Quantum Field Theory written by Bernard Jancewicz and published by . This book was released on 1976 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Methods in Quantum Mechanics by : Stanley Gudder
Download or read book Stochastic Methods in Quantum Mechanics written by Stanley Gudder and published by . This book was released on 2014-01-01 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical developments in such fields as optical coherence, communication engineering, and laser technology have developed from the applications of stochastic methods. This introductory survey offers a broad view of some of the most useful stochastic methods and techniques in quantum physics, functional analysis, probability theory, communications, and electrical engineering. Starting with a history of quantum mechanics, it examines both the quantum logic approach and the operational approach, with explorations of random fields and quantum field theory. The text assumes a basic knowledge of functional analysis; although some experience with probability theory and quantum mechanics is helpful, necessary ideas and results from these two disciplines are developed as needed. A selection of exercises follows each chapter, and proofs to most of the theorems are included. A comprehensive bibliography allows researchers and students to continue in the direction of their individual interests.
