Path Integrals In Quantum Mechanics Statistics And Polymer Physics
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Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets
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Author : Hagen Kleinert
language : en
Publisher: World Scientific
Release Date : 2009
Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets written by Hagen Kleinert and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Business & Economics categories.
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.
Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets
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Author : Hagen Kleinert
language : en
Publisher: World Scientific Publishing Company
Release Date : 2004-03-05
Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets written by Hagen Kleinert and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-05 with categories.
This is the third, significantly expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions have become possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman's famous formula to include singular attractive 1/r and 1/r2 potentials. The second is a simple quantum equivalence principle governing the transformation of euclidean path integrals to spaces with curvature and torsion, which leads to time-sliced path integrals that are manifestly invariant under coordinate transformations. In addition to the time-sliced definition, the author gives a perturbative definition of path integrals which makes them invariant under coordinate transformations. A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely integrals over products of distributions. The powerful Feynman–Kleinert variational approach is explained and developed systematically into a variational perturbation theory which, in contrast to ordinary perturbation theory, produces convergent expansions. The convergence is uniform from weak to strong couplings, opening a way to precise approximate evaluations of analytically unsolvable path integrals. Tunneling processes are treated in detail. The results are used to determine the lifetime of supercurrents, the stability of metastable thermodynamic phases, and the large-order behavior of perturbation expansions. A new variational treatment extends the range of validity of previous tunneling theories from large to small barriers. A corresponding extension of large-order perturbation theory also applies now to small orders. Special attention is devoted to path integrals with 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 given which account for the fact that large market fluctuations occur much more frequently than in the commonly used Gaussian distributions. The author's other book on 'Critical Properties of Φ4 Theories' gives a thorough introduction to the field of critical phenomena and develops new powerful resummation techniques for the extraction of physical results from the divergent perturbation expansions. Request Inspection Copy
Path Integrals In Quantum Mechanics Statistics And Polymer Physics
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Author : Hagen Kleinert
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1990-01-01
Path Integrals In Quantum Mechanics Statistics And Polymer Physics written by Hagen Kleinert and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Science categories.
Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets 4th Edition
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Author : Hagen Kleinert
language : en
Publisher:
Release Date : 2006
Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets 4th Edition written by Hagen Kleinert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Path Integrals In Quantum Mechanics Statistics And Polymer Physics
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Author : Hagen Kleinert
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1995
Path Integrals In Quantum Mechanics Statistics And Polymer Physics written by Hagen Kleinert and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
Introduction To Path Integral Methods In Physics And Polymer Science
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Author : Frederik W. Wiegel
language : en
Publisher: World Scientific
Release Date : 1986
Introduction To Path Integral Methods In Physics And Polymer Science written by Frederik W. Wiegel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Science categories.
This monograph distills material prepared by the author for class lectures, conferences and research seminars. It fills in a much-felt gap between the older and original work by Feynman and Hibbs and the more recent and advanced volume by Schulman. After presenting an elementary account on the Wiener path integral as applied to Brownian motion, the author progresses on to the statistics of polymers and polymer entanglements. The next three chapters provide an introduction to quantum statistical physics with emphasis on the conceptual understanding of many-variable systems. A chapter on the renormalization group provides material for starting on research work. The final chapter contains an over view of the role of path integrals in recent developments in physics. A good bibliography is provided for each chapter.
Feynman Path Integrals In Quantum Mechanics And Statistical Physics
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Author : Lukong Cornelius Fai
language : en
Publisher: CRC Press
Release Date : 2021-04-15
Feynman Path Integrals In Quantum Mechanics And Statistical Physics written by Lukong Cornelius Fai and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-15 with Science categories.
This book provides an ideal introduction to the use of Feynman path integrals in the fields of quantum mechanics and statistical physics. It is written for graduate students and researchers in physics, mathematical physics, applied mathematics as well as chemistry. The material is presented in an accessible manner for readers with little knowledge of quantum mechanics and no prior exposure to path integrals. It begins with elementary concepts and a review of quantum mechanics that gradually builds the framework for the Feynman path integrals and how they are applied to problems in quantum mechanics and statistical physics. Problem sets throughout the book allow readers to test their understanding and reinforce the explanations of the theory in real situations. Features: Comprehensive and rigorous yet, presents an easy-to-understand approach. Applicable to a wide range of disciplines. Accessible to those with little, or basic, mathematical understanding.
Path Integral Methods In Quantum Field Theory
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Author : R. J. Rivers
language : en
Publisher: Cambridge University Press
Release Date : 1988-10-27
Path Integral Methods In Quantum Field Theory written by R. J. Rivers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-10-27 with Science categories.
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.
Path Integrals In Physics
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Author : M Chaichian
language : en
Publisher: CRC Press
Release Date : 2018-10-08
Path Integrals In Physics written by M Chaichian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Science categories.
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.
Lectures In Theoretical Physics
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Author : Asim O. Barut
language : en
Publisher:
Release Date : 1971
Lectures In Theoretical Physics written by Asim O. Barut and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Science categories.