Spectral Analysis Of Relativistic Operators

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Spectral Analysis Of Relativistic Operators

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Author : William Desmond Evans
language : en
Publisher: World Scientific
Release Date : 2010-10-15

Spectral Analysis Of Relativistic Operators written by William Desmond Evans and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-15 with Science categories.

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./a

Spectral Analysis Of Relativistic Operators

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Author : A. A. Balinsky
language : en
Publisher: World Scientific
Release Date : 2011

Spectral Analysis Of Relativistic Operators written by A. A. Balinsky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.

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.

Elliptic Differential Operators And Spectral Analysis

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Author : D. E. Edmunds
language : en
Publisher: Springer
Release Date : 2018-11-20

Elliptic Differential Operators And Spectral Analysis written by D. E. Edmunds and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-20 with Mathematics categories.

This book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and covering important topics previously scattered throughout the literature. Starting with the basics of elliptic operators and their naturally associated function spaces, the authors then proceed to cover various related topics of current and continuing importance. Particular attention is given to the characterisation of self-adjoint extensions of symmetric operators acting in a Hilbert space and, for elliptic operators, the realisation of such extensions in terms of boundary conditions. A good deal of material not previously available in book form, such as the treatment of the Schauder estimates, is included. Requiring only basic knowledge of measure theory and functional analysis, the book is accessible to graduate students and will be of interest to all researchers in partial differential equations. The reader will value its self-contained, thorough and unified presentation of the modern theory of elliptic operators.

Spectral Theory And Differential Equations

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Author : E. Khruslov
language : en
Publisher: American Mathematical Society
Release Date : 2014-09-26

Spectral Theory And Differential Equations written by E. Khruslov and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-26 with Mathematics categories.

This volume is dedicated to V. A. Marchenko on the occasion of his 90th birthday. It contains refereed original papers and survey articles written by his colleagues and former students of international stature and focuses on the areas to which he made important contributions: spectral theory of differential and difference operators and related topics of mathematical physics, including inverse problems of spectral theory, homogenization theory, and the theory of integrable systems. The papers in the volume provide a comprehensive account of many of the most significant recent developments in that broad spectrum of areas.

Spectral Theory And Differential Operators

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Author : E. Brian Davies
language : en
Publisher: Cambridge University Press
Release Date : 1995

Spectral Theory And Differential Operators written by E. Brian Davies and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

This book could be used either for self-study or as a course text, and aims to lead the reader to the more advanced literature on partial differential operators.

General Relativity And Relativistic Astrophysics Proceedings Of The 4th Canadian Conference

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Author : Gabor Kunstatter
language : en
Publisher: World Scientific
Release Date : 1992-02-28

General Relativity And Relativistic Astrophysics Proceedings Of The 4th Canadian Conference written by Gabor Kunstatter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-02-28 with categories.

This proceedings contains the talks delivered at plenary and parallel sessions by leading researchers in both classical and quantum general relativity and in astrophysics.

Complex Quantum Systems Analysis Of Large Coulomb Systems

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Author : Heinz Siedentop
language : en
Publisher: World Scientific
Release Date : 2013-05-20

Complex Quantum Systems Analysis Of Large Coulomb Systems written by Heinz Siedentop and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-20 with Science categories.

This volume is based on lectures given during the program “Complex Quantum Systems” held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many-body methods originating from quantum information, and — the most complex — semirelativistic quantum electrodynamics.These introductions are written by leaders in their fields; amongst them are Volker Bach, Rafael Benguria, Thomas Chen, and Jan Philip Solovej. Together, they fill a gap between current textbooks and the vast modern literature on complex quantum systems.

Spectral Analysis Differential Equations And Mathematical Physics A Festschrift In Honor Of Fritz Gesztesy S 60th Birthday

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Author : Helge Holden
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-07-08

Spectral Analysis Differential Equations And Mathematical Physics A Festschrift In Honor Of Fritz Gesztesy S 60th Birthday written by Helge Holden and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-08 with Mathematics categories.

This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particu

Unstable States In The Continuous Spectra Analysis Concepts Methods And Results

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Author :
language : en
Publisher: Academic Press
Release Date : 2010-11-25

Unstable States In The Continuous Spectra Analysis Concepts Methods And Results written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-25 with Science categories.

Advances in Quantum Chemistry presents surveys of current developments in this rapidly developing field. With invited reviews written by leading international researchers, each presenting new results, it provides a single vehicle for following progress in this interdisciplinary area. - Publishes articles, invited reviews and proceedings of major international conferences and workshops - Written by leading international researchers in quantum and theoretical chemistry - Highlights important interdisciplinary developments

Feynman Kac Type Formulae And Gibbs Measures

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Author : József Lörinczi
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-01-20

Feynman Kac Type Formulae And Gibbs Measures written by József Lörinczi and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-20 with Mathematics categories.

This is the second updated and extended edition of the successful book on Feynman-Kac theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. The first volume concentrates on Feynman-Kac-type formulae and Gibbs measures.