Intégrale de chemin en mécanique quantique: introduction

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Publisher : EDP Sciences
ISBN 13 : 2759831833
Total Pages : 417 pages
Book Rating : 4.7/5 (598 download)

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Book Synopsis Intégrale de chemin en mécanique quantique: introduction by : Jean Zinn-Justin

Download or read book Intégrale de chemin en mécanique quantique: introduction written by Jean Zinn-Justin and published by EDP Sciences. This book was released on 2023-07-28T00:00:00+02:00 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage démontre l'intérêt et la familiarité de l'intégrale de chemin du point de vue de la physique, qui offre un regard alternatif sur la mécanique quantique. Ce livre résulte d'un cours de « mécanique quantique avancé ». Il est tiré de l'ouvrage original de l'auteur Quantum Field and Critical Phenomena (Oxford University Press).

Introduction To Quantum Mechanics: Schrodinger Equation And Path Integral (Second Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814397768
Total Pages : 942 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Introduction To Quantum Mechanics: Schrodinger Equation And Path Integral (Second Edition) by : Harald J W Muller-kirsten

Download or read book Introduction To Quantum Mechanics: Schrodinger Equation And Path Integral (Second Edition) written by Harald J W Muller-kirsten and published by World Scientific Publishing Company. This book was released on 2012-07-19 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on quantum mechanics begins by covering all the main topics of an introduction to the subject. It then concentrates on newer developments. In particular it continues with the perturbative solution of the Schrödinger equation for various potentials and thereafter with the introduction and evaluation of their path integral counterparts. Considerations of the large order behavior of the perturbation expansions show that in most applications these are asymptotic expansions. The parallel consideration of path integrals requires the evaluation of these around periodic classical configurations, the fluctuation equations about which lead back to specific wave equations. The period of the classical configurations is related to temperature, and permits transitions to the thermal domain to be classified as phase transitions.In this second edition of the text important applications and numerous examples have been added. In particular, the chapter on the Coulomb potential has been extended to include an introduction to chemical bonds, the chapter on periodic potentials has been supplemented by a section on the band theory of metals and semiconductors, and in the chapter on large order behavior a section has been added illustrating the success of converging factors in the evaluation of asymptotic expansions. Detailed calculations permit the reader to follow every step.

Une initiation à l'intégrale fonctionnelle en physique quantique et statistique

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Publisher : EPFL Press
ISBN 13 : 9782880743314
Total Pages : 104 pages
Book Rating : 4.7/5 (433 download)

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Book Synopsis Une initiation à l'intégrale fonctionnelle en physique quantique et statistique by : Philippe A. Martin

Download or read book Une initiation à l'intégrale fonctionnelle en physique quantique et statistique written by Philippe A. Martin and published by EPFL Press. This book was released on 1996-01-01 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Quantum Mechanics: Schrödinger Equation and Path Integral

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (91 download)

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Book Synopsis Introduction to Quantum Mechanics: Schrödinger Equation and Path Integral by : Harald J.W. Müller-Kirsten

Download or read book Introduction to Quantum Mechanics: Schrödinger Equation and Path Integral written by Harald J.W. Müller-Kirsten and published by . This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Path Integral Approach to Quantum Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642578861
Total Pages : 400 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Path Integral Approach to Quantum Physics by : Gert Roepstorff

Download or read book Path Integral Approach to Quantum Physics written by Gert Roepstorff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Path Integrals in Field Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540403821
Total Pages : 232 pages
Book Rating : 4.4/5 (38 download)

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Book Synopsis Path Integrals in Field Theory by : Ulrich Mosel

Download or read book Path Integrals in Field Theory written by Ulrich Mosel and published by Springer Science & Business Media. This book was released on 2004 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise textbook intended as a primer on path integral formalism both in classical and quantum field theories, although emphasis is on the latter. It is ideally suited as an intensive one-semester course, delivering the basics needed by readers to follow developments in field theory. Path Integrals in Field Theory paves the way for both more rigorous studies in fundamental mathematical issues as well as for applications in hadron, particle and nuclear physics, thus addressing students in mathematical and theoretical physics alike. Assuming some background in relativistic quantum theory (but none in field theory), it complements the authors monograph Fields, Symmetries, and Quarks (Springer, 1999).

Introduction à la physique quantique

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Author :
Publisher : De Boeck Superieur
ISBN 13 : 2807314422
Total Pages : 402 pages
Book Rating : 4.8/5 (73 download)

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Book Synopsis Introduction à la physique quantique by : Jean-Louis Basdevant

Download or read book Introduction à la physique quantique written by Jean-Louis Basdevant and published by De Boeck Superieur. This book was released on 2017-06-12 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rédigé à l’attention des étudiants en deuxième et troisième année de Licence de physique et en écoles d’ingénieurs, ce cours de physique quantique est complété par plus de 100 exercices et problèmes corrigés, dont certains, plus approfondis, portent sur des domaines d’actualité.

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

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Author :
Publisher : World Scientific
ISBN 13 : 9789812381071
Total Pages : 1512 pages
Book Rating : 4.3/5 (81 download)

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Book Synopsis Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets by : Hagen Kleinert

Download or read book Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets written by Hagen Kleinert and published by World Scientific. This book was released on 2004 with total page 1512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mécanique quantique. Une introduction

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540643470
Total Pages : 524 pages
Book Rating : 4.6/5 (434 download)

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Book Synopsis Mécanique quantique. Une introduction by : Walter Greiner

Download or read book Mécanique quantique. Une introduction written by Walter Greiner and published by Springer Science & Business Media. This book was released on 1999-10-08 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'ouvrage Mécanique Quantique - Introduction - jette les bases du cours de mécanique quantique et de la théorie des champs. En partant de la radiation du corps noir, de l'effet photoélectrique et de la dualité onde - particule, l'auteur expose les relations de l'incertitude, le spin, et les systèmes à plusieurs corps. Il inclut les applications à l'atome d'hydrogène et les expériences de Stern-Gerlach, et de Einstein-de Haas. Sont aussi présentés en détails l'aspect mathématique de la théorie de représentation, les matrices S, la théorie de la pertubation, les problèmes des valeurs propres, les équations différentielles hypergéometriques. Le lecteur trouvera aussi plus de 80 exemples et exercices, ainsi que leur corrigé, et ceci afin de consolider le propos du livre. Chaque exercice a été soigneusement choisi et traité pour que l'ouvrage soit l'outil de base et de référence de son lecteur.

Introduction to Quantum Mechanics: Schrödinger Equation and Path Integral

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Publisher :
ISBN 13 :
Total Pages : 805 pages
Book Rating : 4.:/5 (91 download)

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Book Synopsis Introduction to Quantum Mechanics: Schrödinger Equation and Path Integral by : Harald J.W. Müller-Kirsten

Download or read book Introduction to Quantum Mechanics: Schrödinger Equation and Path Integral written by Harald J.W. Müller-Kirsten and published by . This book was released on 2006 with total page 805 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Path Integrals in Quantum Mechanics

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Publisher :
ISBN 13 : 0198566751
Total Pages : 336 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Path Integrals in Quantum Mechanics by : Jean Zinn-Justin

Download or read book Path Integrals in Quantum Mechanics written by Jean Zinn-Justin and published by . This book was released on 2010-07-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is hardly comprehensible without path integrals: the goal of this book is to introduce students to this topic within the context of ordinary quantum mechanics and non-relativistic many-body theory, before facing the problems associated with the more involved quantum field theory formalism.

Path Integrals In Quantum Mechanics, Statistics, Polymer Physics, And Financial Markets (4th Edition)

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Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9813101717
Total Pages : 1593 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Path Integrals In Quantum Mechanics, Statistics, Polymer Physics, And Financial Markets (4th Edition) by : Hagen Kleinert

Download or read book Path Integrals In Quantum Mechanics, Statistics, Polymer Physics, And Financial Markets (4th Edition) written by Hagen Kleinert and published by World Scientific Publishing Company. This book was released on 2006-07-19 with total page 1593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth, 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.

Mathematical Theory of Feynman Path Integrals

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Publisher : Springer
ISBN 13 : 3540769560
Total Pages : 184 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Mathematical Theory of Feynman Path Integrals by : Sergio Albeverio

Download or read book Mathematical Theory of Feynman Path Integrals written by Sergio Albeverio and published by Springer. This book was released on 2008-05-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.

Path Integrals

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Publisher : Springer Science & Business Media
ISBN 13 : 1468491407
Total Pages : 516 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Path Integrals by : George J. Papadopoulos

Download or read book Path Integrals written by George J. Papadopoulos and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 In Quantum Mechanics, Statistics, Polymer Physics, And Financial Markets (5th Edition)

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Author :
Publisher : World Scientific
ISBN 13 : 9814365262
Total Pages : 1626 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Path Integrals In Quantum Mechanics, Statistics, Polymer Physics, And Financial Markets (5th Edition) by : Hagen Kleinert

Download or read book Path Integrals In Quantum Mechanics, Statistics, Polymer Physics, And Financial Markets (5th Edition) written by Hagen Kleinert and published by World Scientific. This book was released on 2009-05-18 with total page 1626 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Trajectories And Rays: The Path-summation In Quantum Mechanics And Optics I

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Author :
Publisher : World Scientific
ISBN 13 : 981450744X
Total Pages : 241 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Trajectories And Rays: The Path-summation In Quantum Mechanics And Optics I by : M Cetica

Download or read book Trajectories And Rays: The Path-summation In Quantum Mechanics And Optics I written by M Cetica and published by World Scientific. This book was released on 1990-12-10 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected topics about the path-integral method in Quantum Mechanics and Optics. Starting from an introduction to the grounds of functional integration theory, the main arguments of quantum and statistical mechanics, where the path-integral method works, are exposed. In particular, the partition function, the concept of instanton, tunneling and dissipative phenomena are analysed. The final section is devoted to selected and solved problems. This volume will be useful to beginners as well as more advanced students and researchers in the field.

Path Integrals in Physics

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Publisher : CRC Press
ISBN 13 : 1482289504
Total Pages : 336 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Path Integrals in Physics by : M Chaichian

Download or read book Path Integrals in Physics written by M Chaichian and published by CRC Press. This book was released on 2018-10-03 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in 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. It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.