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Numerical Grid Methods and Their Application to Schr?dinger`s Equation, C. Cerjan


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Автор: C. Cerjan
Название:  Numerical Grid Methods and Their Application to Schr?dinger`s Equation
ISBN: 9789048143085
Издательство: Springer
Классификация: ISBN-10: 904814308X
Обложка/Формат: Paperback
Страницы: 248
Вес: 0.37 кг.
Дата издания: 15.12.2010
Серия: Nato Science Series C:
Язык: English
Размер: 234 x 156 x 14
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The use of numerical grid methods to solve the Schrodinger equation has rapidly evolved in the past decade.The early attempts to demonstrate the computational viability of grid methods have been largely superseded by applications to specific problems and deeper research into more sophisticated quadrature schemes. Underpinning this research, of course, is the belief that the generic nature of grid methods can enjoy a symbiotic development with advances in computer technology, harnessing this technology in an effective manner. The contributions to this proceedings demonstrate these points in full: several appli- cations displayed creative use and extension of existing grid methodology; other research concentrated on the development of new quadrature schemes or mixed numerical meth- ods. The research represented ranges from highly specific spectral simulations of van der Waals complexs to general schemes for reactive scattering. The novelty of grid methods in Density Functional Theory calculations should also be highlighted since it represents an alternative to standard basis set expansion techniques and might offer distinct advantages to the standard techniques. A deliberate attempt was made to present research material with more motivational and background discussion than is typical of research publications. It is hoped that these contributed proceedings will be useful to students and researchers outside the field to have a rapid and complete introduction to many of the exciting uses of grid methodology in atomic and molecular physics. Special thanks are due to the NATO Science Committee for its generous support of the activities of this workshop.


The Schr?dinger Equation

Автор: F.A. Berezin; M. Shubin
Название: The Schr?dinger Equation
ISBN: 940105391X ISBN-13(EAN): 9789401053914
Издательство: Springer
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Цена: 25155.00 р.
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Numerical Grid Methods and Their Application to Schr?dinger`s Equation

Автор: C. Cerjan
Название: Numerical Grid Methods and Their Application to Schr?dinger`s Equation
ISBN: 0792324234 ISBN-13(EAN): 9780792324232
Издательство: Springer
Рейтинг:
Цена: 30467.00 р.
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Описание: The use of numerical grid methods to solve the Schrodinger equation has rapidly evolved in the past decade.The early attempts to demonstrate the computational viability of grid methods have been largely superseded by applications to specific problems and deeper research into more sophisticated quadrature schemes. Underpinning this research, of course, is the belief that the generic nature of grid methods can enjoy a symbiotic development with advances in computer technology, harnessing this technology in an effective manner. The contributions to this proceedings demonstrate these points in full: several appli- cations displayed creative use and extension of existing grid methodology; other research concentrated on the development of new quadrature schemes or mixed numerical meth- ods. The research represented ranges from highly specific spectral simulations of van der Waals complexs to general schemes for reactive scattering. The novelty of grid methods in Density Functional Theory calculations should also be highlighted since it represents an alternative to standard basis set expansion techniques and might offer distinct advantages to the standard techniques. A deliberate attempt was made to present research material with more motivational and background discussion than is typical of research publications. It is hoped that these contributed proceedings will be useful to students and researchers outside the field to have a rapid and complete introduction to many of the exciting uses of grid methodology in atomic and molecular physics. Special thanks are due to the NATO Science Committee for its generous support of the activities of this workshop.

From Brownian Motion to Schr?dinger`s Equation

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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Цена: 13974.00 р.
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The Nonlinear Schr?dinger Equation

Автор: Catherine Sulem; Pierre-Louis Sulem
Название: The Nonlinear Schr?dinger Equation
ISBN: 1475773072 ISBN-13(EAN): 9781475773071
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.

The Discrete Nonlinear Schr?dinger Equation

Автор: Panayotis G. Kevrekidis
Название: The Discrete Nonlinear Schr?dinger Equation
ISBN: 364224243X ISBN-13(EAN): 9783642242434
Издательство: Springer
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Цена: 32651.00 р.
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Описание: This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrodinger equation and the physical settings that it describes.

`Nature and the Greeks` and `Science and Humanism`

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: 2533.00 р.
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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.

Semi-Classical Analysis for the Schr?dinger Operator and Applications

Автор: Bernard Helffer
Название: Semi-Classical Analysis for the Schr?dinger Operator and Applications
ISBN: 3540500766 ISBN-13(EAN): 9783540500766
Издательство: Springer
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Цена: 3487.00 р.
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Описание: Offers an introduction to semi-classical analysis. This book includes an application of PDE techniques and the precise link between approximate solutions and exact eigenfunctions. It provides an application to Witten's approach for the proof of the Morse inequalities.

Schr?dinger Diffusion Processes

Автор: Robert Aebi
Название: Schr?dinger Diffusion Processes
ISBN: 3034898746 ISBN-13(EAN): 9783034898744
Издательство: Springer
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Цена: 13974.00 р.
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Описание: In order to answer Schrodinger`s question, the book takes three distinct approaches, dealt with in separate chapters: transformation by means of a multiplicative functional, projection by means of relative entropy, and variation of a functional associated to pairs of non-linear integral equations.

The Schr?dinger Equation

Автор: Walter Thirring; Paul Urban
Название: The Schr?dinger Equation
ISBN: 3709176751 ISBN-13(EAN): 9783709176757
Издательство: Springer
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Цена: 16979.00 р.
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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.

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations

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.

Schr?dinger Operators, Como 1984

Автор: Sandro Graffi
Название: Schr?dinger Operators, Como 1984
ISBN: 3540160353 ISBN-13(EAN): 9783540160359
Издательство: Springer
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Цена: 4884.00 р.
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The Schr?dinger-Virasoro Algebra

Автор: J?r?mie Unterberger; Claude Roger
Название: The Schr?dinger-Virasoro Algebra
ISBN: 3642269591 ISBN-13(EAN): 9783642269592
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The first current, self-contained presentation of the newly discovered structure of the Schrodinger-Virasoro algebra, this book explains the role this algebra of non-relativistic conformal symmetries plays in some models of non-equilibrium statistical physics.


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