Path Integral Approach to Quantum Physics

Path Integral Approach to Quantum Physics
Title Path Integral Approach to Quantum Physics PDF eBook
Author Gert Roepstorff
Publisher Springer Science & Business Media
Pages 400
Release 2012-12-06
Genre Science
ISBN 3642578861

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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.

Quantum Mechanics and Path Integrals [by] R.P. Feynman [and] A.R. Hibbs

Quantum Mechanics and Path Integrals [by] R.P. Feynman [and] A.R. Hibbs
Title Quantum Mechanics and Path Integrals [by] R.P. Feynman [and] A.R. Hibbs PDF eBook
Author Richard Phillips Feynman
Publisher
Pages 0
Release 1965
Genre Quantum theory
ISBN 9780071139489

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Quantum Gravitation

Quantum Gravitation
Title Quantum Gravitation PDF eBook
Author Herbert W. Hamber
Publisher Springer Science & Business Media
Pages 342
Release 2008-10-20
Genre Science
ISBN 354085293X

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"Quantum Gravitation" approaches the subject from the point of view of Feynman path integrals, which provide a manifestly covariant approach in which fundamental quantum aspects of the theory such as radiative corrections and the renormalization group can be systematically and consistently addressed. It is shown that the path integral method is suitable for both perturbative as well as non-perturbative studies, and is already known to offer a framework for the theoretical investigation of non-Abelian gauge theories, the basis for three of the four known fundamental forces in nature. The book thus provides a coherent outline of the present status of the theory gravity based on Feynman’s formulation, with an emphasis on quantitative results. Topics are organized in such a way that the correspondence to similar methods and results in modern gauge theories becomes apparent. Covariant perturbation theory are developed using the full machinery of Feynman rules, gauge fixing, background methods and ghosts. The renormalization group for gravity and the existence of non-trivial ultraviolet fixed points are investigated, stressing a close correspondence with well understood statistical field theory models. The final chapter addresses contemporary issues in quantum cosmology such as scale dependent gravitational constants and quantum effects in the early universe.

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

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets
Title Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets PDF eBook
Author Hagen Kleinert
Publisher World Scientific
Pages 1626
Release 2009
Genre Business & Economics
ISBN 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 Integral Methods in Quantum Field Theory

Path Integral Methods in Quantum Field Theory
Title Path Integral Methods in Quantum Field Theory PDF eBook
Author R. J. Rivers
Publisher Cambridge University Press
Pages 356
Release 1988-10-27
Genre Science
ISBN 9780521368704

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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.

Path Integrals and Quantum Processes

Path Integrals and Quantum Processes
Title Path Integrals and Quantum Processes PDF eBook
Author Mark S. Swanson
Publisher Courier Corporation
Pages 463
Release 2014-02-19
Genre Science
ISBN 0486493067

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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.

Field Theory

Field Theory
Title Field Theory PDF eBook
Author Ashok Das
Publisher World Scientific
Pages 420
Release 1993
Genre Science
ISBN 9789810213978

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Traditionally, field theory is taught through canonical quantization with a heavy emphasis on high energy physics. However, the techniques of field theory are applicable as well and are extensively used in various other areas of physics such as consdensed matter, nuclear physics and statistical mechanics. The path integral approach brings out this feature most clearly. In this book, the path integral approach is developed in detail completely within the context of quantum mechanics. Subsequently, it is applied to various areas of physics.