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Author: L. S. Schulman
Publisher: Courier Corporation
Published: 2005-12-27
Total Pages: 434
ISBN-13: 0486445283
DOWNLOAD EBOOK →Suitable for advanced undergraduates and graduate students, this text requires only a first course in quantum mechanics. The first part develops the techniques of path integration; the second section, dealing with applications, covers a host of illustrative examples. 26 figures. 1981 edition.
Author: L. S. Schulman
Publisher: Courier Corporation
Published: 2012-10-10
Total Pages: 434
ISBN-13: 0486137023
DOWNLOAD EBOOK →Suitable for advanced undergraduates and graduate students, this text develops the techniques of path integration and deals with applications, covering a host of illustrative examples. 26 figures. 1981 edition.
Author: D. C. Khandekar
Publisher: World Scientific
Published: 1993
Total Pages: 362
ISBN-13: 9789810205638
DOWNLOAD EBOOK →This book presents the major developments in this field with emphasis on application of path integration methods in diverse areas. After introducing the concept of path integrals, related topics like random walk, Brownian motion and Wiener integrals are discussed. Several techniques of path integration including global and local time transformations, numerical methods as well as approximation schemes are presented. The book provides a proper perspective of some of the most recent exact results and approximation schemes for practical applications.
Author: Sonia Mazzucchi
Publisher: World Scientific
Published: 2009-05-22
Total Pages: 225
ISBN-13: 9814469270
DOWNLOAD EBOOK →Although more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a formidable instrument of theoretical physics, but also a mathematical challenge; in fact, several mathematicians in the last 40 years have devoted their efforts to the rigorous mathematical definition of Feynman's ideas.This volume provides a detailed, self-contained description of the mathematical difficulties as well as the possible techniques used to solve these difficulties. In particular, it gives a complete overview of the mathematical realization of Feynman path integrals in terms of well-defined functional integrals, that is, the infinite dimensional oscillatory integrals. It contains the traditional results on the topic as well as the more recent developments obtained by the author.Mathematical Feynman Path Integrals and Their Applications is devoted to both mathematicians and physicists, graduate students and researchers who are interested in the problem of mathematical foundations of Feynman path integrals.
Author: Hagen Kleinert
Publisher: World Scientific
Published: 2009
Total Pages: 1626
ISBN-13: 9814273570
DOWNLOAD EBOOK →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: Mark S. Swanson
Publisher: Courier Corporation
Published: 2014-02-19
Total Pages: 464
ISBN-13: 0486782301
DOWNLOAD EBOOK →Graduate-level, systematic presentation of path integral approach to calculating transition elements, partition functions, and source functionals. Covers Grassmann variables, field and gauge field theory, perturbation theory, and nonperturbative results. 1992 edition.
Author: K. V. Bhagwat
Publisher:
Published: 1993
Total Pages: 359
ISBN-13: 9789814439435
DOWNLOAD EBOOK →Author: Wolfhard Janke
Publisher: World Scientific
Published: 2008-11-12
Total Pages: 629
ISBN-13: 9814469149
DOWNLOAD EBOOK →This proceedings volume contains selected talks and poster presentations from the 9th International Conference on Path Integrals — New Trends and Perspectives, which took place at the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany, during the period September 23-28, 2007. Continuing the well-developed tradition of the conference series, the present status of both the different techniques of path integral calculations and their diverse applications to many fields of physics and chemistry is reviewed. This is reflected in the main topics in this volume, which range from more traditional fields such as general quantum physics and quantum or statistical field theory through technical aspects like Monte Carlo simulations to more modern applications in the realm of quantum gravity and astrophysics, condensed matter physics with topical subjects such as Bose-Einstein condensation or quantum wires, biophysics and econophysics. All articles are successfully tied together by the common method of path integration; as a result, special methodological advancements in one topic could be transferred to other topics.
