Large Order Perturbation Theory And Summation 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 A Arteca
language : en
Publisher:
Release Date : 1990-08-08
Large Order Perturbation Theory And Summation Methods In Quantum Mechanics written by Gustavo A Arteca and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-08-08 with categories.
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.
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 “/p>
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.
Algebraic Methods In Quantum Chemistry And Physics
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Author : Francisco M. Fernandez
language : en
Publisher: CRC Press
Release Date : 2020-01-16
Algebraic Methods In Quantum Chemistry And Physics 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 2020-01-16 with Mathematics categories.
Algebraic Methods in Quantum Chemistry and Physics provides straightforward presentations of selected topics in theoretical chemistry and physics, including Lie algebras and their applications, harmonic oscillators, bilinear oscillators, perturbation theory, numerical solutions of the Schrödinger equation, and parameterizations of the time-evolution operator. The mathematical tools described in this book are presented in a manner that clearly illustrates their application to problems arising in theoretical chemistry and physics. The application techniques are carefully explained with step-by-step instructions that are easy to follow, and the results are organized to facilitate both manual and numerical calculations. Algebraic Methods in Quantum Chemistry and Physics demonstrates how to obtain useful analytical results with elementary algebra and calculus and an understanding of basic quantum chemistry and physics.
Mathematical Models And Methods For Ab Initio Quantum Chemistry
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Author : M. Defranceschi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Models And Methods For Ab Initio Quantum Chemistry written by M. Defranceschi 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.
On the occasion of the fourth International Conference on Industrial and Applied Mathematics!, we decided to organize a sequence of 4 minisymposia devoted to the mathematical aspects and the numerical aspects of Quantum Chemistry. Our goal was to bring together scientists from different communities, namely mathematicians, experts at numerical analysis and computer science, chemists, just to see whether this heterogeneous set of lecturers can produce a rather homogeneous presentation of the domain to an uninitiated audience. To the best of our knowledgde, nothing of this kind had never been tempted so far. It seemed to us that it was the good time for doing it, both . because the interest of applied mathematicians into the world of computational chemistry has exponentially increased in the past few years, and because the community of chemists feels more and more concerned with the numerical issues. Indeed, in the early years of Quantum Chemistry, the pioneers (Coulson, Mac Weeny, just to quote two of them) used to solve fundamental equations modelling toy systems which could be simply numerically handled in view of their very limited size. The true difficulty arose with the need to model larger systems while possibly taking into account their interaction with their environment. Hand calculations were no longer possible, and computing science came into the picture.
Methods In Reaction Dynamics
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Author : W. Jakubetz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Methods In Reaction Dynamics written by W. Jakubetz 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.
Methods in Reaction Dynamics is a collection of lectures given at the 1999 Mariapfarr Workshop in Theoretical Chemistry. Arranged as a series of detailed reviews, it provides an overview of quantum mechanical techniques used to describe and simulate the dynamics and kinetics of elementary chemical reactions. The volume provides in-depth discussions of selected topics in Theoretical Chemistry, such as quantum methods in theoretical and computational reaction dynamics and kinetics; time-dependent, time-independent and mixed quantum-classical techniques. Some of the topics have not been reviewed before in detail.
Asymptotic Methods For Engineers
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Author : Igor V. Andrianov
language : en
Publisher: CRC Press
Release Date : 2024-05-16
Asymptotic Methods For Engineers written by Igor V. Andrianov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-16 with Mathematics categories.
Asymptotic Methods for Engineers is based on the authors’ many years of practical experience in the application of asymptotic methods to solve engineering problems. This book is devoted to modern asymptotic methods (AM), which is widely used in engineering, applied sciences, physics, and applied mathematics. Avoiding complex formal calculations and justifications, the book’s main goal is to describe the main ideas and algorithms. Moreover, not only is there a presentation of the main AM, but there is also a focus on demonstrating their unity and inseparable connection with the methods of summation and asymptotic interpolation. The book will be useful for students and researchers from applied mathematics and physics and of interest to doctoral and graduate students, university and industry professors from various branches of engineering (mechanical, civil, electro-mechanical, etc.).
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.
" . . . if a physical system is capable of supporting solitary wave motions then such motions will invariably arise from quite general excitations. " - T. Maxworthy (1980), pg. 52. The discover of nonlocal solitary waves is unknown and anonymous, but he or she lived in the dry north of Australia many millenia before the birth of writing. There, on the shores of the Gulf of Carpentaria, vast cylinders of cloud roll from northeast to southwest most mornings. Perhaps 300 meters in diameter, perhaps 500 meters above the ocean, these cylinders of cloud stretch from horizon to horizon. As the cloud evaporates on the trailing edge of the wave and condenses on the leading edge, the cylinder appears to roll backwards even as it propagates inland at perhaps 10-20 meters per second. Often, a whole train of cloud-cylinders propagates from Cape Yorke Penisula across the Gulf towards the southwest across modern Burketown, perhaps as much as 500 km inland into the Northern Territory. Modern-day Australians call it the "Morning Glory". What the discover called it, so many centuries before the invention of hieroglyphics, the foundation of Ur and the coronation of the First Dynasty of China, we do not know. But unless he was very different from us, he felt awe. Physicists (Smith, 1988, and Rottman and Einaudi, 1!:!93) have identified the Morning Glory as a solitary wave.