Introduction to Path-integral Methods in Physics and Polymer Science
Introduction to Path-integral Methods in Physics and Polymer Science

Author: Frederik W. Wiegel

Publisher: World Scientific

Published: 1986

Total Pages: 226

ISBN-13: 9789971978709

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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.

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets
Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

Author: Hagen Kleinert

Publisher: World Scientific

Published: 2009

Total Pages: 1626

ISBN-13: 9814273570

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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
Path Integrals

Author: George J. Papadopoulos

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 516

ISBN-13: 1468491407

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The Advanced Study Institute on "Path Integrals and Their Applications in Quantum, Statistical, and Solid State Physics" was held at the University of Antwerpen (R.U.C.A.), July 17-30, 1977. The Institute was sponsored by NATO. Co-sponsors were: A.C.E.C. (Belgium), Agfa-Gevaert (Belgium), l'Air Li~uide BeIge (Belgium), Be1gonucleaire (Belgium), Bell Telephone Mfg. Co. (Belgium), Boelwerf (Belgium), Generale BankmaatschappiJ (Belgium), I.B.M. (Belgium), Kredietbank (Belgium), National Science Foundation (U.S.A.), Siemens (Belgium). A total of 100 lecturers and partici pants attended the Institute. The development of path (or functional) integrals in relation to problems of stochastic nature dates back to the early 20's. At that time, Wiener succeeded in obtaining the fundamental solution of the diffusion e~uation using Einstein's joint probability of finding a Brownian particle in a succession of space intervals during a corresponding succession of time intervals. Dirac in the early 30's sowed the seeds of the path integral formulation of ~uantum mecha nics. However, the major and decisive step in this direction was taken with Feynman's works in ~uantum and statistical physics, and quantum electrodynamicso The applications now extend to areas such as continuous mechanics, and recently functional integration methods have been employed by Edwards for the study of polymerized matter

Path Integrals and Quantum Anomalies
Path Integrals and Quantum Anomalies

Author: Kazuo Fujikawa

Publisher: Oxford University Press

Published: 2004-04-29

Total Pages: 297

ISBN-13: 0198529139

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The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the path integral method in quantum field theory and its applications to the analyses of quantum anomalies. No previous knowledge of fieldtheory beyond the advanced undergraduate quantum mechanics is assumed. The book provides the first coherent introductory treatment of the path integral formulation of chiral and Weyl anomalies, with applications to gauge theory in two and four dimensions, conformal field theory and string theory. Explicitand elementary path integral calculations of most of the quantum anomalies covered are given. The conceptual basis of the path integral bosonization in two-dimensional theory, which may have applications to condensed matter theory, for example, is clarified. The book also covers the recent interesting developments in the treatment of fermions and chiral anomalies in lattice gauge theory.

Path Integral Methods
Path Integral Methods

Author: Taro Kashiwa

Publisher:

Published: 1997

Total Pages: 230

ISBN-13: 9780198517719

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Providing a self-contained step-by-step explanation, this book provides a guide to path integral methods for readers with a basic knowledge of quantum mechanics

Advances in Chemical Physics, Volume 143
Advances in Chemical Physics, Volume 143

Author: Stuart A. Rice

Publisher: John Wiley & Sons

Published: 2009-08-03

Total Pages: 0

ISBN-13: 9780470500255

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The Advances in Chemical Physics series presents the cutting edge in every area of the discipline and provides the field with a forum for critical, authoritative evaluations of advances. It provides an editorial framework that makes each volume an excellent supplement to advanced graduate classes, with contributions from experts around the world and a handy glossary for easy reference on new terminology. This series is a wonderful guide for students and professionals in chemical physics and physical chemistry, from academia, government, and industries including chemicals, pharmaceuticals, and polymers.

Introduction to Polymer Physics
Introduction to Polymer Physics

Author: Masao Doi

Publisher: Oxford University Press

Published: 1996

Total Pages: 148

ISBN-13: 9780198517894

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This book is a concise and clearly written introduction to the modern theory of polymer physics. The book describes basic concepts and methods of investigating the statistical properties of the assembly of chain-like molecules. The topics discussed include scaling theory, concentration fluctuation, gels, and reptation. Both graduate students and researchers in physics, physical chemistry, chemical engineering, and materials science will find this an extremely useful textbook and reference work.

Quantum Chemistry and Dynamics of Excited States
Quantum Chemistry and Dynamics of Excited States

Author: Leticia González

Publisher: John Wiley & Sons

Published: 2021-02-01

Total Pages: 52

ISBN-13: 1119417759

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An introduction to the rapidly evolving methodology of electronic excited states For academic researchers, postdocs, graduate and undergraduate students, Quantum Chemistry and Dynamics of Excited States: Methods and Applications reports the most updated and accurate theoretical techniques to treat electronic excited states. From methods to deal with stationary calculations through time-dependent simulations of molecular systems, this book serves as a guide for beginners in the field and knowledge seekers alike. Taking into account the most recent theory developments and representative applications, it also covers the often-overlooked gap between theoretical and computational chemistry. An excellent reference for both researchers and students, Excited States provides essential knowledge on quantum chemistry, an in-depth overview of the latest developments, and theoretical techniques around the properties and nonadiabatic dynamics of chemical systems. Readers will learn: ● Essential theoretical techniques to describe the properties and dynamics of chemical systems ● Electronic Structure methods for stationary calculations ● Methods for electronic excited states from both a quantum chemical and time-dependent point of view ● A breakdown of the most recent developments in the past 30 years For those searching for a better understanding of excited states as they relate to chemistry, biochemistry, industrial chemistry, and beyond, Quantum Chemistry and Dynamics of Excited States provides a solid education in the necessary foundations and important theories of excited states in photochemistry and ultrafast phenomena.