Spectral theory and mathematical physics : a Festschrift in honor of Barry Simon's 60th birthday : a conference on... March 27-31, 2006, California Institute of Technology, Pasadena, California PDF Download
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Author:
Publisher:
ISBN: 9780821842492
Category :
Languages : en
Pages : 948
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Book Description
Author:
Publisher:
ISBN: 9780821842492
Category :
Languages : en
Pages : 948
Get Book Here
Book Description
Author: Fritz Gesztesy
Publisher: American Mathematical Soc.
ISBN: 0821842498
Category : Mathematics
Languages : en
Pages : 466
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Book Description
This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to aparticular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random andErgodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensiveintroduction into an area covered in this volume.
Author: Fritz Gesztesy
Publisher: American Mathematical Society(RI)
ISBN: 9780821893821
Category : Mathematical physics
Languages : en
Pages : 528
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Book Description
This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume, since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields.
Author: Hans L. Cycon
Publisher: Springer Science & Business Media
ISBN: 3540167587
Category : Computers
Languages : en
Pages : 337
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Book Description
Are you looking for a concise summary of the theory of Schrödinger operators? Here it is. Emphasizing the progress made in the last decade by Lieb, Enss, Witten and others, the three authors don’t just cover general properties, but also detail multiparticle quantum mechanics – including bound states of Coulomb systems and scattering theory. This corrected and extended reprint contains updated references as well as notes on the development in the field over the past twenty years.
Author: Joseph A. Cima
Publisher: American Mathematical Soc.
ISBN: 0821838717
Category : Mathematics
Languages : en
Pages : 286
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Book Description
The Cauchy transform of a measure on the circle is a subject of both classical and current interest with a sizable literature. This book is a thorough, well-documented, and readable survey of this literature and includes full proofs of the main results of the subject. This book also covers more recent perturbation theory as covered by Clark, Poltoratski, and Aleksandrov and contains an in-depth treatment of Clark measures.
Author: Ryoshi Hotta
Publisher: Springer Science & Business Media
ISBN: 081764363X
Category : Mathematics
Languages : en
Pages : 408
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Book Description
D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.
Author: James E. Strick
Publisher: Harvard University Press
ISBN: 0674044088
Category : Science
Languages : en
Pages : 297
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Book Description
How, asks James E. Strick, could spontaneous generation--the idea that living things can suddenly arise from nonliving materials--come to take root for a time (even a brief one) in so thoroughly unsuitable a field as British natural theology? No less an authority than Aristotle claimed that cases of spontaneous generation were to be observed in nature, and the idea held sway for centuries. Beginning around the time of the Scientific Revolution, however, the doctrine was increasingly challenged; attempts to prove or disprove it led to important breakthroughs in experimental design and laboratory techniques, most notably sterilization methods, that became the cornerstones of modern microbiology and sped the ascendancy of the germ theory of disease. The Victorian debates, Strick shows, were entwined with the public controversy over Darwin's theory of evolution. While other histories of the debates between 1860 and 1880 have focused largely on the experiments of John Tyndall, Henry Charlton Bastian, and others, Sparks of Life emphasizes previously understudied changes in the theories that underlay the debates. Strick argues that the disputes cannot be understood without full knowledge of the factional infighting among Darwinians themselves, as they struggled to create a socially and scientifically viable form of Darwinian science. He shows that even the terms of the debate, such as biogenesis, usually but incorrectly attributed to Huxley, were intensely contested.
Author: Louis Agassiz
Publisher:
ISBN:
Category : Glaciers
Languages : en
Pages : 390
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Book Description
Author: Sheldon Katz
Publisher: American Mathematical Soc.
ISBN: 0821836870
Category : Mathematics
Languages : en
Pages : 226
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Book Description
Perhaps the most famous example of how ideas from modern physics have revolutionized mathematics is the way string theory has led to an overhaul of enumerative geometry, an area of mathematics that started in the eighteen hundreds. Century-old problems of enumerating geometric configurations have now been solved using new and deep mathematical techniques inspired by physics! The book begins with an insightful introduction to enumerative geometry. From there, the goal becomes explaining the more advanced elements of enumerative algebraic geometry. Along the way, there are some crash courses on intermediate topics which are essential tools for the student of modern mathematics, such as cohomology and other topics in geometry. The physics content assumes nothing beyond a first undergraduate course. The focus is on explaining the action principle in physics, the idea of string theory, and how these directly lead to questions in geometry. Once these topics are in place, the connection between physics and enumerative geometry is made with the introduction of topological quantum field theory and quantum cohomology.
Author: Viktor Vasilʹevich Prasolov
Publisher: American Mathematical Soc.
ISBN: 0821838121
Category : Mathematics
Languages : en
Pages : 432
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Book Description
The book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples and applications. Then the Kolmogorov-Alexander multiplication in cohomology is introduced. A significant part of the book is devoted to applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology. The book ends with various applications of homology to the topology of manifolds, some of which might be of interest to experts in the area. The book contains many problems; almost all of them are provided with hints or complete solutions.
