Spectral Theory of Random Schr?dinger Operators, R. Carmona; J. Lacroix

Автор: Sandro Graffi
Название: Schr?dinger Operators, Como 1984
ISBN: 3540160353 ISBN-13(EAN): 9783540160359
Издательство: Springer
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Автор: Kaspar Sakmann
Название: Many-Body Schr?dinger Dynamics of Bose-Einstein Condensates
ISBN: 3642271057 ISBN-13(EAN): 9783642271052
Издательство: Springer
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Описание: This book offers the first numerically exact solutions of the time-dependent many-body Schrodinger equation for a bosonic Josephson junction, comparing them to approximate Gross-Pitaevskii and Bose-Hubbard theories. This opens exciting new aspects of physics.

Автор: Schr?dinger
Название: `Nature and the Greeks` and `Science and Humanism`
ISBN: 1107431832 ISBN-13(EAN): 9781107431836
Издательство: Cambridge Academ
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Цена: 16890.00 T
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Описание: Nobel laureate Erwin Schroedinger`s lectures on the history and philosophy of science are legendary. Here the texts of some of his most famous lectures are made available for the first time in many years. As Roger Penrose`s foreword confirms, they are as relevant today as when they were first published.

Автор: Kai L. Chung; Zhongxin Zhao
Название: From Brownian Motion to Schr?dinger`s Equation
ISBN: 3642633811 ISBN-13(EAN): 9783642633812
Издательство: Springer
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Автор: Reinhard Lang
Название: Spectral Theory of Random Schr?dinger Operators
ISBN: 3540549757 ISBN-13(EAN): 9783540549758
Издательство: Springer
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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: Yoshimi Saito
Название: Spectral Representations for Schr?dinger Operators with Long-Range Potentials
ISBN: 3540095144 ISBN-13(EAN): 9783540095149
Издательство: Springer
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Автор: Erik Balslev
Название: Schr?dinger Operators, Aarhus 1985
ISBN: 3540168265 ISBN-13(EAN): 9783540168263
Издательство: Springer
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Автор: Helge Holden; Arne Jensen
Название: Schr?dinger Operators
ISBN: 366213764X ISBN-13(EAN): 9783662137642
Издательство: Springer
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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 The Quantum Mechanical Many-Body Problem
ISBN: 3662138883 ISBN-13(EAN): 9783662138885
Издательство: Springer
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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
Издательство: Springer
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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: M. Nagasawa
Название: Schr?dinger Equations and Diffusion Theory
ISBN: 3034896840 ISBN-13(EAN): 9783034896849
Издательство: Springer
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Цена: 46570.00 T
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Описание:

Schrodinger Equations and Diffusion Theory addresses the question "What is the Schrodinger equation?" in terms of diffusion processes, and shows that the Schrodinger equation and diffusion equations in duality are equivalent. In turn, Schrodinger's conjecture of 1931 is solved. The theory of diffusion processes for the Schrodinger equation tell us that we must go further into the theory of systems of (infinitely) many interacting quantum (diffusion) particles.
The method of relative entropy and the theory of transformations enable us to construct severely singular diffusion processes which appear to be equivalent to Schrodinger equations.
The theory of large deviations and the propagation of chaos of interacting diffusion particles reveal the statistical mechanical nature of the Schrodinger equation, namely, quantum mechanics.
The text is practically self-contained and requires only an elementary knowledge of probability theory at the graduate level.

Автор: Masao Nagasawa
Название: Schr?dinger Equations and Diffusion Theory
ISBN: 3034805594 ISBN-13(EAN): 9783034805599
Издательство: Springer
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Описание: Self-contained and structurally coherent, this introduction to the theory and applications of diffusion processes deploys them to analyze Schrodinger`s equations, using relative entropy and the theory of transformations to forge apparently identical processes.