Schr?dinger Diffusion Processes, Robert Aebi

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.

Автор: M. Nagasawa
Название: Schr?dinger Equations and Diffusion Theory
ISBN: 3034896840 ISBN-13(EAN): 9783034896849
Издательство: Springer
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Цена: 6986.00 р.
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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: Erik Balslev
Название: Schr?dinger Operators, Aarhus 1985
ISBN: 3540168265 ISBN-13(EAN): 9783540168263
Издательство: Springer
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Автор: Serafin Fraga; Jose M. Garcia de la Vega; Eric S.
Название: The Schr?dinger and Riccati Equations
ISBN: 3540651055 ISBN-13(EAN): 9783540651055
Издательство: Springer
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Цена: 14365.00 р.
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Описание: The linear Schroedinger equation is central to Quantum Chemistry. The Riccati equation is used to study the one-dimensional Schroedinger equation. The authors develop the Schroedinger-Riccati equation as an approach to determine solutions of the time-independent, linear Schroedinger equation.

Автор: Reinhard Lang
Название: Spectral Theory of Random Schr?dinger Operators
ISBN: 3540549757 ISBN-13(EAN): 9783540549758
Издательство: Springer
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Цена: 3487.00 р.
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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: Makoto Katori
Название: Bessel Processes, Schramm–Loewner Evolution, and the Dyson Model
ISBN: 9811002746 ISBN-13(EAN): 9789811002748
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The SLE and Dyson`s BM model may be considered as "children" of the Bessel process with parameter D, BES(D), and the SLE and Dyson`s BM model as "grandchildren" of BM.

Автор: J?rg Schr?der; Klaus Hackl
Название: Plasticity and Beyond
ISBN: 370911716X ISBN-13(EAN): 9783709117163
Издательство: Springer
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Цена: 26120.00 р.
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Описание: The book presents the latest findings in experimental plasticity, crystal plasticity, phase transitions, advanced mathematical modeling of finite plasticity and multi-scale modeling.

Автор: Charles Li; Stephen Wiggins
Название: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations
ISBN: 0387949259 ISBN-13(EAN): 9780387949253
Издательство: Springer
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Цена: 18167.00 р.
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Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.

Автор: Charles Li; Stephen Wiggins
Название: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations
ISBN: 1461273072 ISBN-13(EAN): 9781461273073
Издательство: Springer
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Цена: 6986.00 р.
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Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.

Автор: J?rg Schr?der; Klaus Hackl
Название: Plasticity and Beyond
ISBN: 3709116244 ISBN-13(EAN): 9783709116241
Издательство: Springer
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Цена: 26122.00 р.
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Описание: This book presents the latest findings in experimental plasticity, crystal plasticity, phase transitions, advanced mathematical modeling of finite plasticity and multi-scale modeling, as well as contemporary applications in material design and processing.