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Author : Michael Reed
Publisher : Elsevier
ISBN 13 : 9780125850025
Total Pages : 388 pages
Book Rating : 4.8/5 (5 download)
Download or read book II: Fourier Analysis, Self-Adjointness written by Michael Reed and published by Elsevier. This book was released on 1975 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Band 2.
Author : Michael Reed
Publisher :
ISBN 13 :
Total Pages : 361 pages
Book Rating : 4.:/5 (49 download)
Download or read book Methods of Modern Mathematical Physics.II, Fourier Analysis, Self-adjointness written by Michael Reed and published by . This book was released on 1972 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Reed
Publisher :
ISBN 13 :
Total Pages : 361 pages
Book Rating : 4.:/5 (49 download)
Download or read book Methods of Modern Mathematical Physics.II, Fourier Analysis, Self-adjointness written by Michael Reed and published by . This book was released on 1972 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Reed
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (872 download)
Download or read book Methods of Modern Mathematical Physics written by Michael Reed and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matteo Gallone
Publisher : Springer Nature
ISBN 13 : 303110885X
Total Pages : 557 pages
Book Rating : 4.0/5 (311 download)
Download or read book Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians written by Matteo Gallone and published by Springer Nature. This book was released on 2023-04-04 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space. It presents the classical von Neumann and Krein–Vishik–Birman extension schemes both in their modern form and from a historical perspective, and provides a detailed analysis of a range of applications beyond the standard pedagogical examples (the latter are indexed in a final appendix for the reader’s convenience). Self-adjointness of operators on Hilbert space representing quantum observables, in particular quantum Hamiltonians, is required to ensure real-valued energy levels, unitary evolution and, more generally, a self-consistent theory. Physical heuristics often produce candidate Hamiltonians that are only symmetric: their extension to suitably larger domains of self-adjointness, when possible, amounts to declaring additional physical states the operator must act on in order to have a consistent physics, and distinct self-adjoint extensions describe different physics. Realising observables self-adjointly is the first fundamental problem of quantum-mechanical modelling. The discussed applications concern models of topical relevance in modern mathematical physics currently receiving new or renewed interest, in particular from the point of view of classifying self-adjoint realisations of certain Hamiltonians and studying their spectral and scattering properties. The analysis also addresses intermediate technical questions such as characterising the corresponding operator closures and adjoints. Applications include hydrogenoid Hamiltonians, Dirac–Coulomb Hamiltonians, models of geometric quantum confinement and transmission on degenerate Riemannian manifolds of Grushin type, and models of few-body quantum particles with zero-range interaction. Graduate students and non-expert readers will benefit from a preliminary mathematical chapter collecting all the necessary pre-requisites on symmetric and self-adjoint operators on Hilbert space (including the spectral theorem), and from a further appendix presenting the emergence from physical principles of the requirement of self-adjointness for observables in quantum mechanics.
Author : Michael Reed
Publisher : Gulf Professional Publishing
ISBN 13 : 0125850506
Total Pages : 417 pages
Book Rating : 4.1/5 (258 download)
Download or read book Methods of Modern Mathematical Physics: Functional analysis written by Michael Reed and published by Gulf Professional Publishing. This book was released on 1980 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations." --Publisher description.
Author : M. W. Wong
Publisher : Springer Science & Business Media
ISBN 13 : 3034801165
Total Pages : 175 pages
Book Rating : 4.0/5 (348 download)
Download or read book Discrete Fourier Analysis written by M. W. Wong and published by Springer Science & Business Media. This book was released on 2011-05-30 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents basic notions and techniques of Fourier analysis in discrete settings. Written in a concise style, it is interlaced with remarks, discussions and motivations from signal analysis. The first part is dedicated to topics related to the Fourier transform, including discrete time-frequency analysis and discrete wavelet analysis. Basic knowledge of linear algebra and calculus is the only prerequisite. The second part is built on Hilbert spaces and Fourier series and culminates in a section on pseudo-differential operators, providing a lucid introduction to this advanced topic in analysis. Some measure theory language is used, although most of this part is accessible to students familiar with an undergraduate course in real analysis. Discrete Fourier Analysis is aimed at advanced undergraduate and graduate students in mathematics and applied mathematics. Enhanced with exercises, it will be an excellent resource for the classroom as well as for self-study.
Author : Valery Serov
Publisher : Springer
ISBN 13 : 9783319879857
Total Pages : 0 pages
Book Rating : 4.8/5 (798 download)
Download or read book Fourier Series, Fourier Transform and Their Applications to Mathematical Physics written by Valery Serov and published by Springer. This book was released on 2018-08-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts. The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations. Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering.
Author : P.D. Hislop
Publisher : Springer Science & Business Media
ISBN 13 : 146120741X
Total Pages : 331 pages
Book Rating : 4.4/5 (612 download)
Download or read book Introduction to Spectral Theory written by P.D. Hislop and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are geometric methods in spectral analysis, exponential decay of eigenfunctions, semi-classical analysis of bound state problems, and semi-classical analysis of resonance. A new geometric point of view along with new techniques are brought out in this book which have both been discovered within the past decade. This book is designed to be used as a textbook, unlike the competitors which are either too fundamental in their approach or are too abstract in nature to be considered as texts. The authors' text fills a gap in the marketplace.
Author : Michael Reed
Publisher : Academic Press
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (97 download)
Download or read book IV: Analysis of Operators written by Michael Reed and published by Academic Press. This book was released on 1978-04-28 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Band 4.
Author : Michael Reed
Publisher : Academic Press
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.3/5 (91 download)
Download or read book III: Scattering Theory written by Michael Reed and published by Academic Press. This book was released on 1979-04-28 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 3.
Author : Konrad Schmüdgen
Publisher : Springer Science & Business Media
ISBN 13 : 9400747535
Total Pages : 435 pages
Book Rating : 4.4/5 (7 download)
Download or read book Unbounded Self-adjoint Operators on Hilbert Space written by Konrad Schmüdgen and published by Springer Science & Business Media. This book was released on 2012-07-09 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics are treated on a text book level accompanied by numerous illustrating examples and exercises. The main themes of the book are the following: - Spectral integrals and spectral decompositions of self-adjoint and normal operators - Perturbations of self-adjointness and of spectra of self-adjoint operators - Forms and operators - Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extension
Author : Daniel Greenberger
Publisher : Springer Science & Business Media
ISBN 13 : 3540706267
Total Pages : 901 pages
Book Rating : 4.5/5 (47 download)
Download or read book Compendium of Quantum Physics written by Daniel Greenberger and published by Springer Science & Business Media. This book was released on 2009-07-25 with total page 901 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by leading quantum physicists, philosophers and historians, this comprehensive A-to-Z of quantum physics provides a lucid understanding of key concepts of quantum theory and experiment. It covers technical and interpretational aspects alike, and includes both traditional and new concepts, making it an indispensable resource for concise, up-to-date information about the many facets of quantum physics.
Author : Maciej Zworski
Publisher : American Mathematical Soc.
ISBN 13 : 0821883208
Total Pages : 448 pages
Book Rating : 4.8/5 (218 download)
Download or read book Semiclassical Analysis written by Maciej Zworski and published by American Mathematical Soc.. This book was released on 2012 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: "...A graduate level text introducing readers to semiclassical and microlocal methods in PDE." -- from xi.
Author : Loukas Grafakos
Publisher : Springer Science & Business Media
ISBN 13 : 0387094326
Total Pages : 494 pages
Book Rating : 4.3/5 (87 download)
Download or read book Classical Fourier Analysis written by Loukas Grafakos and published by Springer Science & Business Media. This book was released on 2008-09-18 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online
Author :
Publisher :
ISBN 13 :
Total Pages : 558 pages
Book Rating : 4.:/5 (318 download)
Download or read book General physics, relativity, astronomy and mathematical physics and methods written by and published by . This book was released on 1981 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 1414 pages
Book Rating : 4.X/5 (1 download)
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1975 with total page 1414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
