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Author: Sergio Albeverio
Publisher: Cambridge University Press
ISBN: 9780521419291
Category : Mathematics
Languages : en
Pages : 528
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Book Description
A collection of essays by many of the closest co-workers of Raphael Høegh-Krohn.
Author: Sergio Albeverio
Publisher: Cambridge University Press
ISBN: 9780521419291
Category : Mathematics
Languages : en
Pages : 528
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Book Description
A collection of essays by many of the closest co-workers of Raphael Høegh-Krohn.
Author: Joji Kajiwara
Publisher: CRC Press
ISBN: 0429530005
Category : Mathematics
Languages : en
Pages : 674
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Book Description
This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.
Author: L. Salvadori
Publisher: Springer
ISBN: 3540388125
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Author: S. Greco
Publisher: Springer
ISBN: 3540390898
Category : Mathematics
Languages : en
Pages : 309
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Book Description
Author: Sergio Albeverio
Publisher: Springer Science & Business Media
ISBN: 3642882013
Category : Science
Languages : en
Pages : 458
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Book Description
Next to the harmonic oscillator and the Coulomb potential the class of two-body models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics.
Author: I.W. Knowles
Publisher: Elsevier
ISBN: 0080872034
Category : Mathematics
Languages : en
Pages : 629
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Book Description
This volume forms a record of the lectures given at this International Conference. Under the general heading of the equations of mathematical physics, contributions are included on a broad range of topics in the theory and applications of ordinary and partial differential equations, including both linear and non-linear equations. The topics cover a wide variety of methods (spectral, theoretical, variational, topological, semi-group), and a equally wide variety of equations including the Laplace equation, Navier-Stokes equations, Boltzmann's equation, reaction-diffusion equations, Schroedinger equations and certain non-linear wave equations. A number of papers are devoted to multi-particle scattering theory, and to inverse theory. In addition, many of the plenary lectures contain a significant amount of survey material on a wide variety of these topics.
Author: Erik Balslev
Publisher: Springer
ISBN: 3540471197
Category : Science
Languages : en
Pages : 227
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Book Description
Author: S. Albeverio, F. Gesztesy, R. Hoegh-Krohn, H. Holden, and an appendix by P. Exner
Publisher: American Mathematical Soc.
ISBN: 9780821869406
Category : Quantum theory
Languages : en
Pages : 508
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Book Description
"This monograph presents a detailed study of a class of solvable models in quantum mechanics that describe the motion of a particle in a potential having support at the positions of a discrete (finite or infinite) set of point sources. Both situations–where the strengths of the sources and their locations are precisely known and where these are only known with a given probability distribution–are covered. The authors present a systematic mathematical approach to these models and illustrate its connections with previous heuristic derivations and computations. Results obtained by different methods in disparate contexts are thus unified and a systematic control over approximations to the models, in which the point interactions are replaced by more regular ones, is provided. The first edition of this book generated considerable interest for those learning advanced mathematical topics in quantum mechanics, especially those connected to the Schrödinger equations. This second edition includes a new appendix by Pavel Exner, who has prepared a summary of the progress made in the field since 1988. His summary, centering around two-body point interaction problems, is followed by a bibliography focusing on essential developments made since 1988. appendix by Pavel Exner, who has prepared a summary of the progress made in the field since 1988. His summary, centering around two-body point interaction problems, is followed by a bibliography focusing on essential developments made since 1988."--Résumé de l'éditeur.
Author: Sergio Albeverio
Publisher: Cambridge University Press
ISBN: 9780521779128
Category : Mathematics
Languages : en
Pages : 454
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Book Description
This is a systematic mathematical study of differential (and more general self-adjoint) operators.
Author: Theodore W. Palmer
Publisher: Cambridge University Press
ISBN: 9780521366373
Category : Mathematics
Languages : en
Pages : 820
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Book Description
This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.
