Functional Analysis And Optimization Methods In Hadron Physics

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Functional Analysis and Optimization Methods in Hadron Physics

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Author : Irinel Caprini
Publisher : Springer
ISBN 13 : 3030189481
Total Pages : 130 pages
Book Rating : 4.0/5 (31 download)

Book Synopsis Functional Analysis and Optimization Methods in Hadron Physics by : Irinel Caprini

Download or read book Functional Analysis and Optimization Methods in Hadron Physics written by Irinel Caprini and published by Springer. This book was released on 2019-04-25 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book begins with a brief historical review of the early applications of standard dispersion relations in particle physics. It then presents the modern perspective within the Standard Model, emphasizing the relation of analyticity together with alternative tools applied to strong interactions, such as perturbative and lattice quantum chromodynamics (QCD), as well as chiral perturbation theory. The core of the book argues that, in order to improve the prediction of specific hadronic observables, it is often necessary to resort to methods of complex analysis more sophisticated than the simple Cauchy integral. Accordingly, a separate mathematical chapter is devoted to solving several functional analysis optimization problems. Their applications to physical amplitudes and form factors are discussed in the following chapters, which also demonstrate how to merge the analytic approach with statistical analysis tools. Given its scope, the book offers a valuable guide for researchers working in precision hadronic physics, as well as graduate students who are new to the field.

Applied Functional Analysis

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Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 1461208157
Total Pages : 503 pages
Book Rating : 4.4/5 (612 download)

Book Synopsis Applied Functional Analysis by : Eberhard Zeidler

Download or read book Applied Functional Analysis written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

Nonlinear Functional Analysis and its Applications

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Author : E. Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 146125020X
Total Pages : 675 pages
Book Rating : 4.4/5 (612 download)

Book Synopsis Nonlinear Functional Analysis and its Applications by : E. Zeidler

Download or read book Nonlinear Functional Analysis and its Applications written by E. Zeidler and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation.

Hadron Form Factors

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Author : Alexander Khodjamirian
Publisher : CRC Press
ISBN 13 : 1351392980
Total Pages : 313 pages
Book Rating : 4.3/5 (513 download)

Book Synopsis Hadron Form Factors by : Alexander Khodjamirian

Download or read book Hadron Form Factors written by Alexander Khodjamirian and published by CRC Press. This book was released on 2020-03-13 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the phenomenology and theory of hadron form factors in a consistent manner, deriving step-by-step the key equations, defining the form factors from the matrix elements of hadronic transitions and deriving their symmetry relations. Explained are several general concepts of particle theory and phenomenology exemplified by hadron form factors. The main emphasis here is on learning the analytical methods in particle phenomenology. Many examples of hadronic processes involving form factors are considered, from the pion electromagnetic scattering to heavy B-meson decays. In the second part of the book, modern techniques of the form factor calculation, based on the method of sum rules in the theory of strong interactions, quantum chromodynamics, are introduced in an accessible manner. This book will be a useful guide for graduate students and early-career researchers working in the field of particle phenomenology and experiments. Features: • The first book to address the phenomenology of hadron form factors at a pedagogical level in one coherent volume • Contains up-to-date descriptions of the most important form factors of the electroweak transitions investigated in particle physics experiments

Methods of Modern Mathematical Physics

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Author : Michael Reed
Publisher : Elsevier
ISBN 13 : 0323155006
Total Pages : 344 pages
Book Rating : 4.3/5 (231 download)

Book Synopsis Methods of Modern Mathematical Physics by : Michael Reed

Download or read book Methods of Modern Mathematical Physics written by Michael Reed and published by Elsevier. This book was released on 2012-12-02 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of Modern Mathematical Physics, Volume I: Functional Analysis discusses the fundamental principles of functional analysis in modern mathematical physics. This book also analyzes the influence of mathematics on physics, such as the Newtonian mechanics used to interpret all physical phenomena. Organized into eight chapters, this volume starts with an overview of the functional analysis in the study of several concrete models. This book then discusses how to generalize the Lebesgue integral to work with functions on the real line and with Borel sets. This text also explores the properties of finite-dimensional vector spaces. Other chapters discuss the normed linear spaces, which have the property of being complete. This monograph further examines the general class of topologized vector spaces and the spaces of distributions that arise in a wide variety of physical problems and functional situations. This book is a valuable resource for mathematicians and physicists. Students and researchers in the field of geometry will also find this book extremely useful.

Mathematical Methods in Physics

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Author : Philippe Blanchard
Publisher : Springer Science & Business Media
ISBN 13 : 1461200490
Total Pages : 469 pages
Book Rating : 4.4/5 (612 download)

Book Synopsis Mathematical Methods in Physics by : Philippe Blanchard

Download or read book Mathematical Methods in Physics written by Philippe Blanchard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.

Functional Analysis

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Author : Nino Boccara
Publisher : Elsevier
ISBN 13 : 0080916961
Total Pages : 327 pages
Book Rating : 4.0/5 (89 download)

Book Synopsis Functional Analysis by : Nino Boccara

Download or read book Functional Analysis written by Nino Boccara and published by Elsevier. This book was released on 1990-10-25 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a third-year course for French students of physics, this book is a graduate text in functional analysis emphasizing applications to physics. It introduces Lebesgue integration, Fourier and Laplace transforms, Hilbert space theory, theory of distribution a la Laurent Schwartz, linear operators, and spectral theory. It contains numerous examples and completely worked out exercises.

Quantum Annealing and Related Optimization Methods

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Author : Arnab Das
Publisher : Springer Science & Business Media
ISBN 13 : 9783540279877
Total Pages : 396 pages
Book Rating : 4.2/5 (798 download)

Book Synopsis Quantum Annealing and Related Optimization Methods by : Arnab Das

Download or read book Quantum Annealing and Related Optimization Methods written by Arnab Das and published by Springer Science & Business Media. This book was released on 2005-11-10 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: physics

Applications of Functional Analysis in Mathematical Physics

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Author : Sergeĭ Lʹvovich Sobolev
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (44 download)

Book Synopsis Applications of Functional Analysis in Mathematical Physics by : Sergeĭ Lʹvovich Sobolev

Download or read book Applications of Functional Analysis in Mathematical Physics written by Sergeĭ Lʹvovich Sobolev and published by . This book was released on 1963 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods in Physics

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Author : Philippe Blanchard
Publisher : Birkhäuser
ISBN 13 : 3319140450
Total Pages : 598 pages
Book Rating : 4.3/5 (191 download)

Book Synopsis Mathematical Methods in Physics by : Philippe Blanchard

Download or read book Mathematical Methods in Physics written by Philippe Blanchard and published by Birkhäuser. This book was released on 2015-04-07 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas. The authors stress that learning mathematical physics is not a passive process and include numerous detailed proofs, examples, and over 200 exercises, as well as hints linking mathematical concepts and results to the relevant physical concepts and theories. All of the material from the first edition has been updated, and five new chapters have been added on such topics as distributions, Hilbert space operators, and variational methods. The text is divided into three parts: - Part I: A brief introduction to (Schwartz) distribution theory. Elements from the theories of ultra distributions and (Fourier) hyperfunctions are given in addition to some deeper results for Schwartz distributions, thus providing a rather comprehensive introduction to the theory of generalized functions. Basic properties and methods for distributions are developed with applications to constant coefficient ODEs and PDEs. The relation between distributions and holomorphic functions is considered, as well as basic properties of Sobolev spaces. - Part II: Fundamental facts about Hilbert spaces. The basic theory of linear (bounded and unbounded) operators in Hilbert spaces and special classes of linear operators - compact, Hilbert-Schmidt, trace class, and Schrödinger operators, as needed in quantum physics and quantum information theory – are explored. This section also contains a detailed spectral analysis of all major classes of linear operators, including completeness of generalized eigenfunctions, as well as of (completely) positive mappings, in particular quantum operations. - Part III: Direct methods of the calculus of variations and their applications to boundary- and eigenvalue-problems for linear and nonlinear partial differential operators. The authors conclude with a discussion of the Hohenberg-Kohn variational principle. The appendices contain proofs of more general and deeper results, including completions, basic facts about metrizable Hausdorff locally convex topological vector spaces, Baire’s fundamental results and their main consequences, and bilinear functionals. Mathematical Methods in Physics is aimed at a broad community of graduate students in mathematics, mathematical physics, quantum information theory, physics and engineering, as well as researchers in these disciplines. Expanded content and relevant updates will make this new edition a valuable resource for those working in these disciplines.

Methods of Modern Mathematical Physics

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Author : Michael Reed
Publisher :
ISBN 13 : 9789814141659
Total Pages : 400 pages
Book Rating : 4.1/5 (416 download)

Book Synopsis Methods of Modern Mathematical Physics by : Michael Reed

Download or read book Methods of Modern Mathematical Physics written by Michael Reed and published by . This book was released on 1980 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perturbation Analysis of Optimization Problems

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Author : J.Frederic Bonnans
Publisher : Springer Science & Business Media
ISBN 13 : 1461213940
Total Pages : 618 pages
Book Rating : 4.4/5 (612 download)

Book Synopsis Perturbation Analysis of Optimization Problems by : J.Frederic Bonnans

Download or read book Perturbation Analysis of Optimization Problems written by J.Frederic Bonnans and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of general results for discussing local optimality and computation of the expansion of value function and approximate solution of optimization problems, followed by their application to various fields, from physics to economics. The book is thus an opportunity for popularizing these techniques among researchers involved in other sciences, including users of optimization in a wide sense, in mechanics, physics, statistics, finance and economics. Of use to research professionals, including graduate students at an advanced level.

Functional Analysis in Mechanics

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Author : Leonid P. Lebedev
Publisher : Springer
ISBN 13 : 9781489997562
Total Pages : 0 pages
Book Rating : 4.9/5 (975 download)

Book Synopsis Functional Analysis in Mechanics by : Leonid P. Lebedev

Download or read book Functional Analysis in Mechanics written by Leonid P. Lebedev and published by Springer. This book was released on 2014-11-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract but powerful mathematical notions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects. This second edition includes more extended coverage of the classical and abstract portions of functional analysis. Taken together, the first three chapters now constitute a regular text on applied functional analysis. This potential use of the book is supported by a significantly extended set of exercises with hints and solutions. A new appendix, providing a convenient listing of essential inequalities and imbedding results, has been added. The book should appeal to graduate students and researchers in physics, engineering, and applied mathematics. Reviews of first edition: "This book covers functional analysis and its applications to continuum mechanics. The presentation is concise but complete, and is intended for readers in continuum mechanics who wish to understand the mathematical underpinnings of the discipline. ... Detailed solutions of the exercises are provided in an appendix." (L’Enseignment Mathematique, Vol. 49 (1-2), 2003) "The reader comes away with a profound appreciation both of the physics and its importance, and of the beauty of the functional analytic method, which, in skillful hands, has the power to dissolve and clarify these difficult problems as peroxide does clotted blood. Numerous exercises ... test the reader’s comprehension at every stage. Summing Up: Recommended." (F. E. J. Linton, Choice, September, 2003)

Applications of functional analysis in mathematical physics

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Author : Sergej L. Sobolev
Publisher :
ISBN 13 :
Total Pages : 239 pages
Book Rating : 4.:/5 (254 download)

Book Synopsis Applications of functional analysis in mathematical physics by : Sergej L. Sobolev

Download or read book Applications of functional analysis in mathematical physics written by Sergej L. Sobolev and published by . This book was released on 1963 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Annealing and Related Optimization Methods

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Author : Arnab Das
Publisher : Springer
ISBN 13 : 9783540813491
Total Pages : 378 pages
Book Rating : 4.8/5 (134 download)

Book Synopsis Quantum Annealing and Related Optimization Methods by : Arnab Das

Download or read book Quantum Annealing and Related Optimization Methods written by Arnab Das and published by Springer. This book was released on 2009-09-02 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: physics

Nonlinear Functional Analysis and Its Applications: Applications to mathematical physics

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Author : Eberhard Zeidler
Publisher :
ISBN 13 : 9787510005237
Total Pages : 975 pages
Book Rating : 4.0/5 (52 download)

Book Synopsis Nonlinear Functional Analysis and Its Applications: Applications to mathematical physics by : Eberhard Zeidler

Download or read book Nonlinear Functional Analysis and Its Applications: Applications to mathematical physics written by Eberhard Zeidler and published by . This book was released on 1986 with total page 975 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Some Applications of Functional Analysis in Mathematical Physics

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Author : Serguei L. Sobolev
Publisher :
ISBN 13 : 9781470445027
Total Pages : 297 pages
Book Rating : 4.4/5 (45 download)

Book Synopsis Some Applications of Functional Analysis in Mathematical Physics by : Serguei L. Sobolev

Download or read book Some Applications of Functional Analysis in Mathematical Physics written by Serguei L. Sobolev and published by . This book was released on 1991 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: