Spectral Representations for Schr?dinger Operators with Long-Range Potentials, Yoshimi Saito

Автор: Reinhard Lang
Название: Spectral Theory of Random Schr?dinger Operators
ISBN: 3540549757 ISBN-13(EAN): 9783540549758
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Описание: The relationship between the spectral theory of Schroedinger operators and probabilistic considerations forms the central theme of this text. An attempt is made to show basic ideas in statu nascendi and to follow their evaluation from simple beginnings through to more advanced results.

Автор: R. Carmona; J. Lacroix
Название: Spectral Theory of Random Schr?dinger Operators
ISBN: 146128841X ISBN-13(EAN): 9781461288411
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Автор: Sandro Graffi
Название: Schr?dinger Operators, Como 1984
ISBN: 3540160353 ISBN-13(EAN): 9783540160359
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Автор: Helge Holden; Arne Jensen
Название: Schr?dinger Operators
ISBN: 366213764X ISBN-13(EAN): 9783662137642
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Описание: Understanding quantum mechanics inevitably leads to an in-depth study of the Schr dinger operator. This set of review lectures informs researchers and advanced students of the most recent developments in the analysis of the Schr dinger operator occurring in solid-state physics, nuclear physics, etc. The topics covered are nonlinear and random potentials, magnetic fields, and many-body problems. Inverse spectral theory is also treated. The results are mathematically rigorous and many physical implications are discussed. The book is suitable for advanced courses in mathematical physics.

Автор: Erik Balslev
Название: Schr?dinger Operators, Aarhus 1985
ISBN: 3540168265 ISBN-13(EAN): 9783540168263
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Автор: Erik Balslev
Название: Schr?dinger Operators The Quantum Mechanical Many-Body Problem
ISBN: 3662138883 ISBN-13(EAN): 9783662138885
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Описание: In these proceedings basic questions regarding n-body Schr-dinger operators are dealt with, such as asymptotic completeness of systems with long-range potentials (including Coulomb), a new proof of completeness for short-range potentials, energy asymptotics of large Coulomb systems, asymptotic neutrality of polyatomic molecules. Other contributions deal withdifferent types of problems, such as quantum stability, Schr-dinger operators on a torus and KAM theory, semiclassical theory, time delay, radiation conditions, magnetic Stark resonances, random Schr-dinger operators and stochastic spectral analysis. The volume presents the results in such detail that it could well serve as basic literature for seminar work.

Автор: P. Bougerol; Lacroix
Название: Products of Random Matrices with Applications to Schr?dinger Operators
ISBN: 1468491741 ISBN-13(EAN): 9781468491746
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Описание: CHAPTER I THE DETERMINISTIC SCHRODINGER OPERATOR 187 1. The difference equation. Hyperbolic structures 187 2. Self adjointness of H. Spectral properties . 190 3. Slowly increasing generalized eigenfunctions 195 4. Approximations of the spectral measure 196 200 5. The pure point spectrum. A criterion 6. Singularity of the spectrum 202 CHAPTER II ERGODIC SCHR DINGER OPERATORS 205 1. Definition and examples 205 2. General spectral properties 206 3. The Lyapunov exponent in the general ergodie case 209 4. The Lyapunov exponent in the independent eas e 211 5. Absence of absolutely continuous spectrum 221 224 6. Distribution of states. Thouless formula 232 7. The pure point spectrum. Kotani's criterion 8. Asymptotic properties of the conductance in 234 the disordered wire CHAPTER III THE PURE POINT SPECTRUM 237 238 1. The pure point spectrum. First proof 240 2. The Laplace transform on SI(2, JR) 247 3. The pure point spectrum. Second proof 250 4. The density of states CHAPTER IV SCHR DINGER OPERATORS IN A STRIP 2';3 1. The deterministic Schr dinger operator in 253 a strip 259 2. Ergodie Schr dinger operators in a strip 3. Lyapunov exponents in the independent case. 262 The pure point spectrum (first proof) 267 4. The Laplace transform on Sp(, JR) 272 5. The pure point spectrum, second proof vii APPENDIX 275 BIBLIOGRAPHY 277 viii PREFACE This book presents two elosely related series of leetures. Part A, due to P.

Автор: Yu.N. Demkov; V.N. Ostrovskii
Название: Zero-Range Potentials and Their Applications in Atomic Physics
ISBN: 1468454536 ISBN-13(EAN): 9781468454536
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Автор: Charles Shagass
Название: Evoked Brain Potentials in Psychiatry
ISBN: 1461586569 ISBN-13(EAN): 9781461586562
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Описание: Consequently, it seemed more appropriate to place our own results within the framework of a general presentation of the evoked-potential field, rather than to have our specific studies govern topic selection.

Автор: Walter Thirring; Paul Urban
Название: The Schr?dinger Equation
ISBN: 3709176751 ISBN-13(EAN): 9783709176757
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Описание: On the occasion of the 50th anniversary of the discovery of the Schrodinger equation a small symposium was organized in Vienna. With their help this volume should become a useful document on the current mathematical art in the treatment of the Schrodinger equation.

Автор: Colin Barber
Название: Evoked Potentials
ISBN: 9401166471 ISBN-13(EAN): 9789401166478
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Описание: This book represents a revised and updated version of the work originally presented at the international evoked potential symposium held in Nottingham 4-6 1978.

Автор: Henri Begleiter
Название: Evoked Brain Potentials and Behavior
ISBN: 1468434640 ISBN-13(EAN): 9781468434644
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Описание: This volume is the second in "The Downstate Series of Research in Psychiatry." It is aseries devoted to the presentation of sig- nificant research with relevance for both clinicians and researchers in the multiple subfields of psychiatry.