Functional Integrals In Quantum Field Theory And Statistical Physics
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Author | : V.N. Popov |
Publisher | : Springer Science & Business Media |
Total Pages | : 316 |
Release | : 2001-11-30 |
Genre | : Science |
ISBN | : 9781402003073 |
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Functional integration is one of the most powerful methods of contempo rary theoretical physics, enabling us to simplify, accelerate, and make clearer the process of the theoretician's analytical work. Interest in this method and the endeavour to master it creatively grows incessantly. This book presents a study of the application of functional integration methods to a wide range of contemporary theoretical physics problems. The concept of a functional integral is introduced as a method of quantizing finite-dimensional mechanical systems, as an alternative to ordinary quantum mechanics. The problems of systems quantization with constraints and the manifolds quantization are presented here for the first time in a monograph. The application of the functional integration methods to systems with an infinite number of degrees of freedom allows one to uniquely introduce and formulate the diagram perturbation theory in quantum field theory and statistical physics. This approach is significantly simpler than the widely accepted method using an operator approach.
Author | : Viktor Nikolaevic Popov |
Publisher | : |
Total Pages | : 299 |
Release | : 1993 |
Genre | : |
ISBN | : |
Download Functional Integrals in Quantum Field Theory and Statistical Physics Book in PDF, Epub and Kindle
Author | : VN. Popov |
Publisher | : |
Total Pages | : |
Release | : 1983 |
Genre | : |
ISBN | : |
Download Functional Integrals in Quantum Field Theory and Statistical Physics (Volume 8). Book in PDF, Epub and Kindle
Author | : A.N. Vasiliev |
Publisher | : CRC Press |
Total Pages | : 336 |
Release | : 1998-07-28 |
Genre | : Science |
ISBN | : 9789056990350 |
Download Functional Methods in Quantum Field Theory and Statistical Physics Book in PDF, Epub and Kindle
Providing a systematic introduction to the techniques which are fundamental to quantum field theory, this book pays special attention to the use of these techniques in a wide variety of areas, including ordinary quantum mechanics, quantum mechanics in the second-quantized formulation, relativistic quantum field theory, Euclidean field theory, quantum statistics at finite temperature, and the classical statistics of nonideal gas and spin systems. The extended chapter on variational methods and functional Legendre transformations contains completely original material.
Author | : M Chaichian |
Publisher | : CRC Press |
Total Pages | : 368 |
Release | : 2001-07-01 |
Genre | : Science |
ISBN | : 9780750308021 |
Download Path Integrals in Physics Book in PDF, Epub and Kindle
The path integral approach has proved extremely useful for the understanding of the most complex problems in quantum field theory, cosmology, and condensed matter physics. Path Integrals in Physics: Volume II, Quantum Field Theory, Statistical Physics and other Modern Applications covers the fundamentals of path integrals, both the Wiener and Feynman types, and their many applications in physics. The book deals with systems that have an infinite number of degrees of freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. Each chapter is self-contained and can be considered as an independent textbook. It provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.
Author | : M Chaichian |
Publisher | : CRC Press |
Total Pages | : 359 |
Release | : 2018-10-08 |
Genre | : Science |
ISBN | : 1482268914 |
Download Path Integrals in Physics Book in PDF, Epub and Kindle
The path integral approach has proved extremely useful for the understanding of the most complex problems in quantum field theory, cosmology, and condensed matter physics. Path Integrals in Physics: Volume II, Quantum Field Theory, Statistical Physics and other Modern Applications covers the fundamentals of path integrals, both the Wiener and Feynman types, and their many applications in physics. The book deals with systems that have an infinite number of degrees of freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. Each chapter is self-contained and can be considered as an independent textbook. It provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.
Author | : Hagen Kleinert |
Publisher | : World Scientific |
Total Pages | : 1626 |
Release | : 2009 |
Genre | : Business & Economics |
ISBN | : 9814273570 |
Download Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets Book in PDF, Epub and Kindle
Topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chern-Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous Black-Scholes formula for option prices are developed which account for the fact that large market fluctuations occur much more frequently than in Gaussian distributions." --Book Jacket.
Author | : Barry Simon |
Publisher | : American Mathematical Soc. |
Total Pages | : 322 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821835823 |
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Focuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula.
Author | : S. G. Brush |
Publisher | : |
Total Pages | : 42 |
Release | : 1959 |
Genre | : |
ISBN | : |
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Author | : Victor Nikolayevich Popov |
Publisher | : |
Total Pages | : |
Release | : 1983 |
Genre | : |
ISBN | : |
Download Functional integrals in quantum field theory and statistical physics Book in PDF, Epub and Kindle