Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities PDF Download
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Author: Rupert L. Frank
Publisher: Cambridge University Press
ISBN: 1009218468
Category : Mathematics
Languages : en
Pages : 523
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Book Description
Takes readers from the very basic facts to the most recent results on eigenvalues of Laplace and Schrödinger operators.
Author: Rupert L. Frank
Publisher: Cambridge University Press
ISBN: 1009218468
Category : Mathematics
Languages : en
Pages : 523
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Book Description
Takes readers from the very basic facts to the most recent results on eigenvalues of Laplace and Schrödinger operators.
Author: Pavel Kurasov
Publisher: Springer Nature
ISBN: 3030315312
Category : Mathematics
Languages : en
Pages : 635
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Book Description
Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics. As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjoint Operators. This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: “Spectral Theory and Applications”, held in Stockholm, Sweden, in March 2016, and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016” held at the Euler Institute in St. Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well as tributes from friends and colleagues.
Author: Elliott H. Lieb
Publisher:
ISBN: 9783662034385
Category : Functional analysis
Languages : en
Pages : 675
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Book Description
This collection of papers - starting with a brilliant article by one of the masters of the field - gives an excellent current review of our knowledge of matter. Partially basing his work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. In this collection the reader will find general results together with deep insights into quantum systems combined in papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structure. The book is suitable as an accompanying text for a graduate course in quantum mechanics. This new edition contains significant new results on matter in magnetic fields.
Author: Malcolm Brown
Publisher: Springer Nature
ISBN: 3031311396
Category : Mathematics
Languages : en
Pages : 731
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Book Description
This volume is dedicated to the memory of Sergey Naboko (1950-2020). In addition to original research contributions covering the vast areas of interest of Sergey Naboko, it includes personal reminiscences and comments on the works and legacy of Sergey Naboko’s scientific achievements. Areas from complex analysis to operator theory, especially, spectral theory, are covered, and the papers will inspire current and future researchers in these areas.
Author: Pavel Exner
Publisher:
ISBN: 9783985470075
Category :
Languages : en
Pages :
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Book Description
Author: Elliott H. Lieb
Publisher: American Mathematical Soc.
ISBN: 0821827839
Category : Mathematics
Languages : en
Pages : 378
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Book Description
This course in real analysis begins with the usual measure theory, then brings the reader quickly to a level where a wider than usual range of topics can be appreciated. Topics covered include Lp- spaces, rearrangement inequalities, sharp integral inequalities, distribution theory, Fourier analysis, potential theory, and Sobolev spaces. To illustrate these topics, there is a chapter on the calculus of variations, with examples from mathematical physics, as well as a chapter on eigenvalue problems (new to this edition). For graduate students of mathematics, and for students of the natural sciences and engineering who want to learn tools of real analysis. Assumes a previous course in calculus. Lieb is affiliated with Princeton University. Loss is affiliated with Georgia Institute of Technology. c. Book News Inc.
Author: A. A. Balinsky
Publisher: World Scientific
ISBN: 1848162189
Category : Science
Languages : en
Pages : 200
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Book Description
Over the last decade, there has been considerable interest and progress in determining the spectral properties of various operators that take relativistic effects into account, with important implications for mathematics and physics. Difficulties are encountered in many-particle problems due to the lack of semiboundedness of the Dirac operator, and this has led to the investigation of operators like those of Chandrasekhar-Herbst and Brown-Ravenhall, which are semibounded under appropriate circumstances.This book contains an up-to-date, comprehensive and self-contained analysis of the spectral properties of these operators, providing the tools for anyone working in this area. Another major feature is the work of the authors on zero modes, a topic which has important significance for the stability of matter and other physical problems. Up until now, these topics have been scattered throughout the literature, without a systematic and cohesive treatment. The book will report largely on the progress on these topics published since 1992.
Author: T. Suslina
Publisher: American Mathematical Soc.
ISBN: 9780821890776
Category : Mathematics
Languages : en
Pages : 318
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Book Description
"This volume is dedicated to the eightieth birthday of Professor M. Sh. Birman. It contains original articles in spectral and scattering theory of differential operators, in particular, Schrodinger operators, and in homogenization theory. All articles are written by members of M. Sh. Birman's research group who are affiliated with different universities all over the world. A specific feature of the majority of the papers is a combination of traditional methods with new modern ideas."--BOOK JACKET.
Author: Robert Sims
Publisher: American Mathematical Soc.
ISBN: 0821852477
Category : Science
Languages : en
Pages : 216
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Book Description
These lecture notes provide a pedagogical introduction to quantum mechanics and to some of the mathematics that has been motivated by this field. They are a product of the school ``Entropy and the Quantum'', which took place in Tucson, Arizona, in 2009. They have been written primarily for young mathematicians, but they will also prove useful to more experienced analysts and mathematical physicists. In the first contribution, William Faris introduces the mathematics of quantum mechanics. Robert Seiringer and Eric Carlen review certain recent developments in stability of matter and analytic inequalities, respectively. Bruno Nachtergaele and Robert Sims review locality results for quantum systems, and Christopher King deals with additivity conjectures and quantum information theory. The final article, by Christian Hainzl, describes applications of analysis to the Shandrasekhar limit of stellar masses.
Author: Jirí Blank
Publisher: Springer Science & Business Media
ISBN: 1402088701
Category : Science
Languages : en
Pages : 677
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Book Description
The new edition of this book detailing the theory of linear-Hilbert space operators and their use in quantum physics contains two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography contains 130 new items.
