Recent Studies Inperturbation Theory

Author : Dimo Uzunov
Publisher : BoD – Books on Demand
Page : 202 pages
File Size : 50,5 Mb
Release : 2017-06-14
Category : Technology & Engineering
ISBN : 9789535132615

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Recent Studies inPerturbation Theory by Dimo Uzunov Pdf

The book contains seven chapters written by noted experts and young researchers who present their recent studies of both pure mathematical problems of perturbation theories and application of perturbation methods to the study of the important topic in physics, for example, renormalization group theory and applications to basic models in theoretical physics (Y. Takashi), the quantum gravity and its detection and measurement (F. Bulnes), atom-photon interactions (E. G. Thrapsaniotis), treatment of spectra and radiation characteristics by relativistic perturbation theory (A. V. Glushkov et al), and Green's function theory and some applications (Jing Huang). The pure mathematical issues are related to the problem of generalization of the boundary layer function method for bisingularly perturbed differential equations (K. Alymkulov and D. A. Torsunov) and to the development of new homotopy asymptotic methods and some of their applications (Baojian Hong).

Author : M. Konstantinov,D. Wei Gu,V. Mehrmann,P. Petkov
Publisher : Gulf Professional Publishing
Page : 442 pages
File Size : 45,9 Mb
Release : 2003-05-20
Category : Mathematics
ISBN : 9780080538679

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Perturbation Theory for Matrix Equations by M. Konstantinov,D. Wei Gu,V. Mehrmann,P. Petkov Pdf

The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis. In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds. Key features: • The first book in this field • Can be used by a variety of specialists • Material is self-contained • Results can be used in the development of reliable computational algorithms • A large number of examples and graphical illustrations are given • Written by prominent specialists in the field

Author : Sylvio Ferraz-Mello
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 47,5 Mb
Release : 2007-05-30
Category : Science
ISBN : 9780387389059

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Canonical Perturbation Theories by Sylvio Ferraz-Mello Pdf

The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems. In addition, they are followed by examples showing all steps of their application.

Author : Francisco M. Fernandez
Publisher : CRC Press
Page : 289 pages
File Size : 40,7 Mb
Release : 2000-09-19
Category : Science
ISBN : 9781420039641

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Introduction to Perturbation Theory in Quantum Mechanics by Francisco M. Fernandez Pdf

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

Author : Zossima Pirogov
Publisher : Unknown
Page : 0 pages
File Size : 40,6 Mb
Release : 2017-12
Category : Perturbation (Mathematics)
ISBN : 1536129895

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Perturbation Theory by Zossima Pirogov Pdf

"Perturbation Theory: Advances in Research and Applications begins with a deliberation on the development of a formalism of the Exchange perturbation theory (EPT) that accounts for the general identity principle of electrons that belong to different atomic centres. The possible applications of the theory concerning scattering and collision problems are discussed, and the authors apply the TDEPT to the description of the positron scattering on a Lithium atom as an example. Next, spin fluctuations in metallic multiband systems are discussed, including how to calculate the effect of itinerant spin excitations on the electronic properties and formulate a theory of spin fluctuation-induced superconductivity. The function of spin-orbit coupling is emphasized. Following this, the authors review how, governed by chiral symmetry, the long- and intermediate-range parts of the $NN$ potential unfold order by order, proceeding up to sixth order where convergence is achieved. Perturbative and nonperturbative approaches to nuclear amplitude are discussed, including the implications for renormalization. Continuing, this book presents proof of the good convergence properties of the new expansions on mathematical models that simulate the physical polarization function for light quarks and its derivative (the Adler function), in various prescriptions of renormalization-group summation. An overview of the calculation of one-loop corrections to the baryon axial vector current in the large-Nc heavy baryon chiral perturbation theory is offered, where Nc is the number of color charges. The matrix elements of the space components of the renormalization of the baryon axial vector current between SU(6) symmetric states yield the values of the axial vector couplings"--

Author : Tosio Kato
Publisher : Springer Science & Business Media
Page : 610 pages
File Size : 46,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662126783

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Perturbation theory for linear operators by Tosio Kato Pdf

Author : Michael Borinsky
Publisher : Springer
Page : 173 pages
File Size : 48,8 Mb
Release : 2018-11-04
Category : Science
ISBN : 9783030035419

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Graphs in Perturbation Theory by Michael Borinsky Pdf

This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory. Starting with an exposition of the Hopf algebra structure of generic graphs, it reviews and summarizes the existing literature. It then applies this Hopf algebraic structure to the combinatorics of graphical enumeration for the first time, and introduces a novel method of asymptotic analysis to answer asymptotic questions. This major breakthrough has combinatorial applications far beyond the analysis of graphical enumeration. The book also provides detailed examples for the asymptotics of renormalizable quantum field theories, which underlie the Standard Model of particle physics. A deeper analysis of such renormalizable field theories reveals their algebraic lattice structure. The pedagogical presentation allows readers to apply these new methods to other problems, making this thesis a future classic for the study of asymptotic problems in quantum fields, network theory and far beyond.

Author : Giuseppe Gaeta
Publisher : Springer Nature
Page : 601 pages
File Size : 54,8 Mb
Release : 2022-12-16
Category : Science
ISBN : 9781071626214

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Perturbation Theory by Giuseppe Gaeta Pdf

This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.

Author : Anonim
Publisher : Unknown
Page : 366 pages
File Size : 44,9 Mb
Release : 1993-02
Category : Power resources
ISBN : PSU:000052606137

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Energy Research Abstracts by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 1306 pages
File Size : 43,6 Mb
Release : 1964
Category : Science
ISBN : OSU:32435022153431

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U.S. Government Research Reports by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 1020 pages
File Size : 53,8 Mb
Release : 1967-10
Category : Government publications
ISBN : UCBK:C023384257

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Government-wide Index to Federal Research & Development Reports by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 1264 pages
File Size : 41,8 Mb
Release : 1967
Category : Aeronautics
ISBN : OSU:32435062863618

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OAR Cumulative Index of Research Results by Anonim Pdf

Author : Martín Lara
Publisher : Walter de Gruyter GmbH & Co KG
Page : 315 pages
File Size : 44,5 Mb
Release : 2021-05-10
Category : Science
ISBN : 9783110667325

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Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction by Martín Lara Pdf

"Analytical solutions to the orbital motion of celestial objects have been nowadays mostly replaced by numerical solutions, but they are still irreplaceable whenever speed is to be preferred to accuracy, or to simplify a dynamical model. In this book, the most common orbital perturbations problems are discussed according to the Lie transforms method, which is the de facto standard in analytical orbital motion calculations"--Print version, page 4 of cover.

Author : Lindsay A. Skinner
Publisher : Springer Science & Business Media
Page : 85 pages
File Size : 43,8 Mb
Release : 2011-05-11
Category : Mathematics
ISBN : 9781441999580

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Singular Perturbation Theory by Lindsay A. Skinner Pdf

This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of increasing complexity. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems.

Author : Antonio Degasperis,Giuseppe Gaeta
Publisher : World Scientific
Page : 338 pages
File Size : 48,7 Mb
Release : 1999-12-30
Category : Electronic
ISBN : 9789814543163

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Symmetry And Perturbation Theory: Spt 98 by Antonio Degasperis,Giuseppe Gaeta Pdf

The second workshop on “Symmetry and Perturbation Theory” served as a forum for discussing the relations between symmetry and perturbation theory, and this put in contact rather different communities. The extension of the rigorous results of perturbation theory established for ODE's to the case of nonlinear evolution PDE's was also discussed: here a number of results are known, particularly in connection with (perturbation of) integrable systems, but there is no general frame as solidly established as in the finite-dimensional case. In aiming at such an infinite-dimensional extension, for which standard analytical tools essential in the ODE case are not available, it is natural to look primarily at geometrical and topological methods, and first of all at those based on exploiting the symmetry properties of the systems under study (both the unperturbed and the perturbed ones); moreover, symmetry considerations are in several ways basic to our understanding of integrability, i.e. finally of the unperturbed systems on whose understanding the whole of perturbation theory has unavoidably to rely.This volume contains tutorial, regular and contributed papers. The tutorial papers give students and newcomers to the field a rapid introduction to some active themes of research and recent results in symmetry and perturbation theory.