mathematical theory of feynman path integrals

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Mathematical Theory Of Feynman Path Integrals

Author : Sergio Albeverio
ISBN : 9783540769569
Genre : Mathematics
File Size : 53. 8 MB
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The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.

Quantum Field Theory

Author : Bertfried Fauser
ISBN : 9783764387365
Genre : Science
File Size : 25. 85 MB
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The present volume emerged from the 3rd `Blaubeuren Workshop: Recent Developments in Quantum Field Theory', held in July 2007 at the Max Planck Institute of Mathematics in the Sciences in Leipzig/Germany. All of the contributions are committed to the idea of this workshop series: To bring together outstanding experts working in the field of mathematics and physics to discuss in an open atmosphere the fundamental questions at the frontier of theoretical physics.

Mathematical Feynman Path Integrals And Their Applications

Author :
ISBN : 9789814469272
Genre :
File Size : 45. 15 MB
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Path Integral Approach To Quantum Physics

Author : Gert Roepstorff
ISBN : 9783642578861
Genre : Science
File Size : 29. 41 MB
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Specifically designed to introduce graduate students to the functional integration method in contemporary physics as painlessly as possible, the book concentrates on the conceptual problems inherent in the path integral formalism. Throughout, the striking interplay between stochastic processes, statistical physics and quantum mechanics comes to the fore, and all the methods of fundamental interest are generously illustrated by important physical examples.

Continuous Quantum Measurements And Path Integrals

Author : M.B Mensky
ISBN : 0750302283
Genre : Science
File Size : 87. 73 MB
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Advances in technology are taking the accuracy of macroscopic as well as microscopic measurements close to the quantum limit, for example, in the attempts to detect gravitational waves. Interest in continuous quantum measurements has therefore grown considerably in recent years. Continuous Quantum Measurements and Path Integrals examines these measurements using Feynman path integrals. The path integral theory is developed to provide formulae for concrete physical effects. The main conclusion drawn from the theory is that an uncertainty principle exists for processes, in addition to the familiar one for states. This implies that a continuous measurement has an optimal accuracy-a balance between inefficient error and large quantum fluctuations (quantum noise). A well-known expert in the field, the author concentrates on the physical and conceptual side of the subject rather than the mathematical.

Quantum Field Theory For Economics And Finance

Author : Belal Ehsan Baaquie
ISBN : 9781108423151
Genre : Business & Economics
File Size : 86. 44 MB
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This book provides an introduction to how the mathematical tools from quantum field theory can be applied to economics and finance. Providing a range of quantum mathematical techniques for designing financial instruments, it demonstrates how a range of topics have quantum mechanical formulations, from asset pricing to interest rates.

Handbook Of Feynman Path Integrals

Author : Christian Grosche
ISBN : UVA:X004326215
Genre : Science
File Size : 61. 98 MB
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The Handbook of Feynman Path Integrals appears just fifty years after Richard Feynman published his pioneering paper in 1948 entitled "Space-Time Approach to Non-Relativistic Quantum Mechanics," in which he introduced his new formulation of quantum mechanics in terms of path integrals. The book presents for the first time a comprehensive table of Feynman path integrals together with an extensive list of references; it will serve the reader as a thorough introduction to the theory of path integrals. As a reference book, it is unique in its scope and will be essential for many physicists, chemists and mathematicians working in different areas of research.

Path Integral Methods In Quantum Field Theory

Author : R. J. Rivers
ISBN : 0521368707
Genre : Science
File Size : 73. 94 MB
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The applications of functional integral methods introduced in this text for solving a range of problems in quantum field theory will prove useful for students and researchers in theoretical physics and quantum field theory.

The Feynman Integral And Feynman S Operational Calculus

Author : Gerald W. Johnson
ISBN : 0198515723
Genre : Mathematics
File Size : 81. 23 MB
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This book provides the most comprehensive mathematical treatment to date of the Feynman path integral and Feynman's operational calculus. It is accessible to mathematicians, mathematical physicists and theoretical physicists. Including new results and much material previously only available in the research literature, this book discusses both the mathematics and physics background that motivate the study of the Feynman path integral and Feynman's operational calculus, and also provides more detailed proofs of the central results.

Mathematical Tools For Physicists

Author : Michael Grinfeld
ISBN : 9783527684274
Genre : Science
File Size : 73. 82 MB
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The new edition is significantly updated and expanded. This unique collection of review articles, ranging from fundamental concepts up to latest applications, contains individual contributions written by renowned experts in the relevant fields. Much attention is paid to ensuring fast access to the information, with each carefully reviewed article featuring cross-referencing, references to the most relevant publications in the field, and suggestions for further reading, both introductory as well as more specialized. While the chapters on group theory, integral transforms, Monte Carlo methods, numerical analysis, perturbation theory, and special functions are thoroughly rewritten, completely new content includes sections on commutative algebra, computational algebraic topology, differential geometry, dynamical systems, functional analysis, graph and network theory, PDEs of mathematical physics, probability theory, stochastic differential equations, and variational methods.

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