Quantum Mechanics And Path Integrals

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Quantum Mechanics And Path Integrals

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Author : Richard P. Feynman
language : en
Publisher: Courier Corporation
Release Date : 2010-07-21

Quantum Mechanics And Path Integrals written by Richard P. Feynman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-21 with Science categories.

Looks at quantum mechanics, covering such topics as perturbation method, statistical mechanics, path integrals, and quantum electrodynamics.

Field Theory A Path Integral Approach

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Author :
language : en
Publisher: Allied Publishers
Release Date :

Field Theory A Path Integral Approach written by and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets 5th Edition

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Author : Hagen Kleinert
language : en
Publisher: World Scientific
Release Date : 2009-05-18

Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets 5th Edition 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 2009-05-18 with Science categories.

This is the fifth, 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 been made possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman's time-sliced formula to include singular attractive 1/r- and 1/r2-potentials. The second is a new nonholonomic mapping principle carrying physical laws in flat spacetime to spacetimes 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, coordinate-independent 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 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 results. The convergence is uniform from weak to strong couplings, opening a way to precise evaluations of analytically unsolvable path integrals in the strong-coupling regime where they describe critical phenomena.Tunneling processes are treated in detail, with applications to the lifetimes of supercurrents, the stability of metastable thermodynamic phases, and the large-order behavior of perturbation expansions. A variational treatment extends the range of validity to small barriers. A corresponding extension of the large-order perturbation theory now also applies to small orders.Special attention is devoted to path integrals with topological restrictions needed to understand 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, recently experienced in the world markets, that large fluctuations occur much more frequently than in Gaussian distributions.

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 : 2004

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 2004 with Science 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 perturbationexpansions. 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 Chem-Simons theory of particles with fractional statistics (anyohs) 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.

Quantum Mechanics And Path Integrals By R P Feynman And A R Hibbs

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Author : Richard Phillips Feynman
language : en
Publisher:
Release Date : 1965

Quantum Mechanics And Path Integrals By R P Feynman And A R Hibbs written by Richard Phillips Feynman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Quantum theory categories.

Path Integrals And Quantum Processes

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Author : Mark S. Swanson
language : en
Publisher: Courier Corporation
Release Date : 2014-02-19

Path Integrals And Quantum Processes written by Mark S. Swanson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-19 with Science categories.

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.

Quantum Mechanics And Path Integrals By R P Feynman And A R Hibbs

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Author : Richard Phillips Feynman
language : en
Publisher:
Release Date : 1965

Quantum Mechanics And Path Integrals By R P Feynman And A R Hibbs written by Richard Phillips Feynman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Quantum theory categories.

Field Theory

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Author : Ashok Das
language : en
Publisher: World Scientific Publishing Company
Release Date : 2006

Field Theory written by Ashok Das 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 2006 with Mathematics categories.

Latest Edition: Field Theory (3rd Edition)This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas.Adding new material keenly requested by readers, this second edition is an important expansion of the popular first edition. Two extra chapters cover path integral quantization of gauge theories and anomalies, and a new section extends the supersymmetry chapter, where singular potentials in supersymmetric systems are described.

Path Integrals In Quantum Mechanics Statistics And Polymer Physics

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Author : Hagen Kleinert
language : en
Publisher: World Scientific Publishing Company
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 this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Integrals, Path categories.

Quantum Mechanics And Path Integrals

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Author : Richard Phillips Feynman
language : en
Publisher:
Release Date : 1965

Quantum Mechanics And Path Integrals written by Richard Phillips Feynman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Quantum theory categories.