Topics In The Theory Of Schrodinger Operators

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Topics In The Theory Of Schrodinger Operators

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Author : Huzihiro Araki
language : en
Publisher: World Scientific
Release Date : 2004

Topics In The Theory Of Schrodinger Operators written by Huzihiro Araki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Medical categories.

This invaluable book presents reviews of some recent topics in thetheory of SchrAdinger operators. It includes a short introduction tothe subject, a survey of the theory of the SchrAdinger equation whenthe potential depends on the time periodically, an introduction to theso-called FBI transformation (also known as coherent state expansion)with application to the semi-classical limit of the S-matrix, anoverview of inverse spectral and scattering problems, and a study ofthe ground state of the PauliOCoFierz model with the use of thefunctional integral. The material is accessible to graduate studentsand non-expert researchers."

Topics In The Theory Of Schrodinger Operators

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Author : Huzihiro Araki
language : en
Publisher: World Scientific
Release Date : 2004-05-07

Topics In The Theory Of Schrodinger Operators written by Huzihiro Araki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-07 with Science categories.

This invaluable book presents reviews of some recent topics in the theory of Schrödinger operators. It includes a short introduction to the subject, a survey of the theory of the Schrödinger equation when the potential depends on the time periodically, an introduction to the so-called FBI transformation (also known as coherent state expansion) with application to the semi-classical limit of the S-matrix, an overview of inverse spectral and scattering problems, and a study of the ground state of the Pauli-Fierz model with the use of the functional integral. The material is accessible to graduate students and non-expert researchers.

Spectral Theory Of Schrodinger Operators

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Author : Rafael del Río
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Spectral Theory Of Schrodinger Operators written by Rafael del Río 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 2004 with Mathematics categories.

This volume gathers the articles based on a series of lectures from a workshop held at the Institute of Applied Mathematics of the National University of Mexico. The aim of the book is to present to a non-specialized audience the basic tools needed to understand and appreciate new trends of research on Schrodinger operator theory. Topics discussed include various aspects of the spectral theory of differential operators, the theory of self-adjoint operators, finite rank perturbations, spectral properties of random Schrodinger operators, and scattering theory for Schrodinger operators. The material is suitable for graduate students and research mathematicians interested in differential operators, in particular, spectral theory of Schrodinger operators.

One Dimensional Ergodic Schr Dinger Operators

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Author : David Damanik
language : en
Publisher: American Mathematical Society
Release Date : 2025-01-15

One Dimensional Ergodic Schr Dinger Operators written by David Damanik 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 2025-01-15 with Mathematics categories.

The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from dynamical systems, topology, and analysis. Additionally, this setting includes many models of physical interest, including those operators that model crystals, disordered media, or quasicrystals. This field has seen substantial progress in recent decades, much of which has yet to be discussed in textbooks. The current volume addresses specific classes of operators, including the important examples of random and almost-periodic operators. The text serves as a self-contained introduction to the field for junior researchers and beginning graduate students, as well as a reference text for people already working in this area. The general theory of one-dimensional ergodic operators was presented in the book by the same authors as volume 221 in the Graduate Studies in Mathematics series.

Selected Papers On Analysis And Differential Equations

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Author : American Mathematical Society
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Selected Papers On Analysis And Differential Equations written by American Mathematical Society 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 2010 with Mathematics categories.

"Volume includes English translation of ten expository articles published in the Japanese journal Sugaku."

Topics In Topology And Mathematical Physics

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Author : Sergeĭ Petrovich Novikov
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Topics In Topology And Mathematical Physics written by Sergeĭ Petrovich Novikov 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 1995 with Mathematical physics categories.

Schr Dinger Operators Aarhus 1985

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Author : Erik Balslev
language : en
Publisher: Springer
Release Date : 2006-11-14

Schr Dinger Operators Aarhus 1985 written by Erik Balslev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Science categories.

Schr Dinger Operators Como 1984

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Author : Sandro Graffi
language : en
Publisher: Springer
Release Date : 2006-11-14

Schr Dinger Operators Como 1984 written by Sandro Graffi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Science categories.

Schr Dinger Operators Eigenvalues And Lieb Thirring Inequalities

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Author : Rupert L. Frank
language : en
Publisher: Cambridge University Press
Release Date : 2022-11-17

Schr Dinger Operators Eigenvalues And Lieb Thirring Inequalities written by Rupert L. Frank 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 2022-11-17 with Mathematics categories.

The analysis of eigenvalues of Laplace and Schrödinger operators is an important and classical topic in mathematical physics with many applications. This book presents a thorough introduction to the area, suitable for masters and graduate students, and includes an ample amount of background material on the spectral theory of linear operators in Hilbert spaces and on Sobolev space theory. Of particular interest is a family of inequalities by Lieb and Thirring on eigenvalues of Schrödinger operators, which they used in their proof of stability of matter. The final part of this book is devoted to the active research on sharp constants in these inequalities and contains state-of-the-art results, serving as a reference for experts and as a starting point for further research.

Singular Perturbations Of Differential Operators

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Author : Sergio Albeverio
language : en
Publisher: Cambridge University Press
Release Date : 2000-03-13

Singular Perturbations Of Differential Operators written by Sergio Albeverio 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 2000-03-13 with Mathematics categories.

Differential (and more general self-adjoint) operators involving singular interactions arise naturally in a range of topics such as, classical and quantum physics, chemistry, and electronics. This book presents a systematic mathematical study of these operators, with particular emphasis on spectral and scattering problems. Suitable for researchers in analysis or mathematical physics, this book could also be used as a text for an advanced course on the applications of analysis.