Large Order Perturbation Theory And Summatin Methods In Quantum Mechanics
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Large Order Perturbation Theory And Summation Methods In Quantum Mechanics
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Author : Gustavo A. Arteca
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Large Order Perturbation Theory And Summation Methods In Quantum Mechanics written by Gustavo A. Arteca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The book provides a general, broad approach to aspects of perturbation theory. The aim has been to cover all topics of interest, from construction, analysis, and summation of perturbation series to applications. Emphasis is placed on simple methods, as well as clear, intuitive ideas stemming from the physics of systems of interest.
Large Order Perturbation Theory And Summation Methods In Quantum Mechanics
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Author : Gustavo Alberto Arteca
language : en
Publisher: Springer Verlag
Release Date : 1990
Large Order Perturbation Theory And Summation Methods In Quantum Mechanics written by Gustavo Alberto Arteca and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.
Large Order Perturbation Theory And Summatin Methods In Quantum Mechanics
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Author : G. A. Arteca
language : en
Publisher:
Release Date : 1990
Large Order Perturbation Theory And Summatin Methods In Quantum Mechanics written by G. A. Arteca and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Large Order Behaviour Of Perturbation Theory
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Author : J.C. Le Guillou
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Large Order Behaviour Of Perturbation Theory written by J.C. Le Guillou and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
This volume is concerned with the determination of the behaviour of perturbation theory at large orders in quantum mechanics and quantum field theory, and its application to the problem of summation of perturbation series. Perturbation series in quantum field theory and in many quantum mechanics models are only asymptotic and thus diverge for all values of the expansion parameter. Their behaviour at large orders provides information about whether they define the theory uniquely (the problem of Borel summability). It suggests methods to extract numerical information from the series when the expansion parameter is not small. The articles reprinted here deal with the explicit evaluation of large-order behaviour in many quantum mechanics and field theory models. The large-order behaviour is related to barrier penetration effects for unphysical values of the expansion parameter, which can be calculated by WKB or instanton methods. The calculation of critical exponents of &fgr;4 field theory is presented as a practical application.
Introduction To Perturbation Theory In Quantum Mechanics
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Author : Francisco M. Fernandez
language : en
Publisher: CRC Press
Release Date : 2000-09-19
Introduction To Perturbation Theory In Quantum Mechanics written by Francisco M. Fernandez and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-19 with Science categories.
Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, a tool particularly useful in quantum mechanics and chemistry. Although most books on these subjects include a section offering an overview of perturbation theory, few, if any, take a practical approach that addresses its actual implementation
Large Order Behaviour Of Perturbation Theory
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Author : Jean-Claude Le Guillou
language : en
Publisher: North Holland
Release Date : 1990-01-01
Large Order Behaviour Of Perturbation Theory written by Jean-Claude Le Guillou and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Science categories.
Volume 7.
Quantum Many Particle Systems
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Author : John W. Negele
language : en
Publisher: CRC Press
Release Date : 2018-03-05
Quantum Many Particle Systems written by John W. Negele and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-05 with Science categories.
This book explains the fundamental concepts and theoretical techniques used to understand the properties of quantum systems having large numbers of degrees of freedom. A number of complimentary approaches are developed, including perturbation theory; nonperturbative approximations based on functional integrals; general arguments based on order parameters, symmetry, and Fermi liquid theory; and stochastic methods.
Mathematics Of Complexity And Dynamical Systems
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Author : Robert A. Meyers
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-05
Mathematics Of Complexity And Dynamical Systems written by Robert A. Meyers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-05 with Mathematics categories.
Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
Quantum Field Theory And Critical Phenomena
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Author : Jean Zinn-Justin
language : en
Publisher: Oxford University Press, USA
Release Date : 1993
Quantum Field Theory And Critical Phenomena written by Jean Zinn-Justin and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Language Arts & Disciplines categories.
Describes particle physics and critical phenomena in statistical mechanics in a unified framework, incorporating graduate lecture notes from the 1970s and 1980s at several universities in Europe and the US. Deals with general field theory, functional integrals, and functional methods; renormalization properties of theories with symmetries and specific applications to particle physics; lattice gauge theories and asymptotic freedom in four dimensions; and the role of instantons and the application of instanton calculus to the large-order behavior of perturbation theory and the problem of summation of the perturbative expansion. Several chapters close with exercise, solutions or hints for which are provided. No dates are noted for the previous editions. Annotation copyright by Book News, Inc., Portland, OR
Weakly Nonlocal Solitary Waves And Beyond All Orders Asymptotics
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Author : John P. Boyd
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Weakly Nonlocal Solitary Waves And Beyond All Orders Asymptotics written by John P. Boyd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.