Recent Studies Inperturbation Theory PDF Download
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Author | : Dimo Uzunov |
Publisher | : BoD – Books on Demand |
Total Pages | : 202 |
Release | : 2017-06-14 |
Genre | : Technology & Engineering |
ISBN | : 953513261X |
Download Recent Studies inPerturbation Theory Book in PDF, ePub and Kindle
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 |
Publisher | : Gulf Professional Publishing |
Total Pages | : 443 |
Release | : 2003-05-20 |
Genre | : Mathematics |
ISBN | : 0080538673 |
Download Perturbation Theory for Matrix Equations Book in PDF, ePub and Kindle
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 |
Total Pages | : 350 |
Release | : 2007-05-30 |
Genre | : Science |
ISBN | : 0387389059 |
Download Canonical Perturbation Theories Book in PDF, ePub and Kindle
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 |
Total Pages | : 289 |
Release | : 2000-09-19 |
Genre | : Science |
ISBN | : 1420039644 |
Download Introduction to Perturbation Theory in Quantum Mechanics Book in PDF, ePub and Kindle
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 | : Tosio Kato |
Publisher | : Springer Science & Business Media |
Total Pages | : 610 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 3662126788 |
Download Perturbation theory for linear operators Book in PDF, ePub and Kindle
Author | : Zossima Pirogov |
Publisher | : |
Total Pages | : 0 |
Release | : 2017-12 |
Genre | : Perturbation (Mathematics) |
ISBN | : 9781536129892 |
Download Perturbation Theory Book in PDF, ePub and Kindle
"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 | : James A. Murdock |
Publisher | : SIAM |
Total Pages | : 358 |
Release | : 1999-01-01 |
Genre | : Mathematics |
ISBN | : 9781611971095 |
Download Perturbations Book in PDF, ePub and Kindle
Perturbations: Theory and Methods gives a thorough introduction to both regular and singular perturbation methods for algebraic and differential equations. Unlike most introductory books on the subject, this one distinguishes between formal and rigorous asymptotic validity, which are commonly confused in books that treat perturbation theory as a bag of heuristic tricks with no foundation. The meaning of "uniformity" is carefully explained in a variety of contexts. All standard methods, such as rescaling, multiple scales, averaging, matching, and the WKB method are covered, and the asymptotic validity (in the rigorous sense) of each method is carefully proved. First published in 1991, this book is still useful today because it is an introduction. It combines perturbation results with those known through other methods. Sometimes a geometrical result (such as the existence of a periodic solution) is rigorously deduced from a perturbation result, and at other times a knowledge of the geometry of the solutions is used to aid in the selection of an effective perturbation method. Dr. Murdock's approach differs from other introductory texts because he attempts to present perturbation theory as a natural part of a larger whole, the mathematical theory of differential equations. He explores the meaning of the results and their connections to other ways of studying the same problems.
Author | : Martín Lara |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 315 |
Release | : 2021-05-10 |
Genre | : Science |
ISBN | : 3110667320 |
Download Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction Book in PDF, ePub and Kindle
"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 | : Alston S. Householder |
Publisher | : Courier Corporation |
Total Pages | : 292 |
Release | : 2006-01-01 |
Genre | : Mathematics |
ISBN | : 048645312X |
Download Principles of Numerical Analysis Book in PDF, ePub and Kindle
Computer science rests upon the building blocks of numerical analysis. This concise treatment by an expert covers the essentials of the solution of finite systems of linear and nonlinear equations as well as the approximate representation of functions. A final section provides 54 problems, subdivided according to chapter. 1953 edition.
Author | : David Kaiser |
Publisher | : University of Chicago Press |
Total Pages | : 376 |
Release | : 2009-11-15 |
Genre | : Science |
ISBN | : 0226422658 |
Download Drawing Theories Apart Book in PDF, ePub and Kindle
Winner of the 2007 Pfizer Prize from the History of Science Society. Feynman diagrams have revolutionized nearly every aspect of theoretical physics since the middle of the twentieth century. Introduced by the American physicist Richard Feynman (1918-88) soon after World War II as a means of simplifying lengthy calculations in quantum electrodynamics, they soon gained adherents in many branches of the discipline. Yet as new physicists adopted the tiny line drawings, they also adapted the diagrams and introduced their own interpretations. Drawing Theories Apart traces how generations of young theorists learned to frame their research in terms of the diagrams—and how both the diagrams and their users were molded in the process. Drawing on rich archival materials, interviews, and more than five hundred scientific articles from the period, Drawing Theories Apart uses the Feynman diagrams as a means to explore the development of American postwar physics. By focusing on the ways young physicists learned new calculational skills, David Kaiser frames his story around the crafting and stabilizing of the basic tools in the physicist's kit—thus offering the first book to follow the diagrams once they left Feynman's hands and entered the physics vernacular.