Knauf, Andreas
Overview
Works:  63 works in 133 publications in 2 languages and 1,191 library holdings 

Roles:  Author, Other, Creator, htt 
Publication Timeline
.
Most widely held works by
Andreas Knauf
Mathematische Physik: klassische Mechanik by
Andreas Knauf(
)
13 editions published between 2011 and 2017 in German and held by 286 WorldCat member libraries worldwide
Als Grenztheorie der Quantenmechanik besitzt die klassische Dynamik einen grossen Formenreichtum, vom gut berechenbaren (integablen) bis zum chaotischen (mischenden) Verhalten. Immer ausgehend von interessanten Beispielen in der Physik bietet das vorliegende Buch nicht nur eine gelungene Auswahl grundlegender Themen, sondern auch einen Einstieg in viele aktuelle Forschungsgebiete aus dem Bereich der klassischen Mechanik. Durch den didaktisch geschickten Aufbau und die konzentrierten Anhänge ist die Darstellung in sich geschlossen und setzt lediglich Kenntnisse der Grundvorlesungen in Mathematik voraus. Ein Höhepunkt des Buches ist die Darstellung der KAMTheorie (KolmogorovArnoldMoser Theorie)
13 editions published between 2011 and 2017 in German and held by 286 WorldCat member libraries worldwide
Als Grenztheorie der Quantenmechanik besitzt die klassische Dynamik einen grossen Formenreichtum, vom gut berechenbaren (integablen) bis zum chaotischen (mischenden) Verhalten. Immer ausgehend von interessanten Beispielen in der Physik bietet das vorliegende Buch nicht nur eine gelungene Auswahl grundlegender Themen, sondern auch einen Einstieg in viele aktuelle Forschungsgebiete aus dem Bereich der klassischen Mechanik. Durch den didaktisch geschickten Aufbau und die konzentrierten Anhänge ist die Darstellung in sich geschlossen und setzt lediglich Kenntnisse der Grundvorlesungen in Mathematik voraus. Ein Höhepunkt des Buches ist die Darstellung der KAMTheorie (KolmogorovArnoldMoser Theorie)
Classical nonintegrability, quantum chaos by
Andreas Knauf(
Book
)
19 editions published between 1995 and 1997 in English and German and held by 277 WorldCat member libraries worldwide
This book includes several lectures given at the DMV Seminar "Classical Nonintegrability, Quantum Chaos". The aim of these lectures was to provide an introduction to the ideas and mathematical techniques of classical and quantum nonlinear dynamics. The lecture by Viviane Baladi gives a muchneeded overview of the current literature and includes an informal discussion of the pertinent problems and results. The chapters on irregular scattering and on expanding maps illustrate techniques in nonlinear dynamics using the simplest nontrivial examples. The chapters on quantum chaos and on Liouville surfaces stress a phase space geometry approach to semiclassical quantum theory. These lectures may serve as a basis for graduate seminars in mathematics and physics
19 editions published between 1995 and 1997 in English and German and held by 277 WorldCat member libraries worldwide
This book includes several lectures given at the DMV Seminar "Classical Nonintegrability, Quantum Chaos". The aim of these lectures was to provide an introduction to the ideas and mathematical techniques of classical and quantum nonlinear dynamics. The lecture by Viviane Baladi gives a muchneeded overview of the current literature and includes an informal discussion of the pertinent problems and results. The chapters on irregular scattering and on expanding maps illustrate techniques in nonlinear dynamics using the simplest nontrivial examples. The chapters on quantum chaos and on Liouville surfaces stress a phase space geometry approach to semiclassical quantum theory. These lectures may serve as a basis for graduate seminars in mathematics and physics
Classical planar scattering by Coulombic potentials by
M Klein(
Book
)
15 editions published between 1991 and 2014 in English and held by 259 WorldCat member libraries worldwide
This book treats scattering of a classical particle in a scalar potential with one or more attracting Coulombic singularities. For more than two centers this is an important prototype of chaotic scattering, which is analysed in depth here using methods of differential geometry and ergodic theory. In particular, the Cantor set structure of all bounded orbits is described in terms of symbolic dynamics, and rigorous energy dependent bounds are derived for quantities such as the topological entropy of the flow, the Hausdorff dimension of the bounded orbits and the distribution of time delay. This shows that the chaotic behaviour ofsuch systems is universal in the high energy regime. Finally the scattering orbits are classified by use of a group. Most of the results in the bookare new. The first mathematically rigorous and comprehensive treatment of chaotic scattering in Coulombic potentials, including 13 figures are given. The book will be of interest to mathematical physicists, mathematicians, and physicists
15 editions published between 1991 and 2014 in English and held by 259 WorldCat member libraries worldwide
This book treats scattering of a classical particle in a scalar potential with one or more attracting Coulombic singularities. For more than two centers this is an important prototype of chaotic scattering, which is analysed in depth here using methods of differential geometry and ergodic theory. In particular, the Cantor set structure of all bounded orbits is described in terms of symbolic dynamics, and rigorous energy dependent bounds are derived for quantities such as the topological entropy of the flow, the Hausdorff dimension of the bounded orbits and the distribution of time delay. This shows that the chaotic behaviour ofsuch systems is universal in the high energy regime. Finally the scattering orbits are classified by use of a group. Most of the results in the bookare new. The first mathematically rigorous and comprehensive treatment of chaotic scattering in Coulombic potentials, including 13 figures are given. The book will be of interest to mathematical physicists, mathematicians, and physicists
Mathematical Physics: Classical Mechanics by
A Knauf(
)
12 editions published in 2018 in English and held by 171 WorldCat member libraries worldwide
As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (KolmogorovArnoldMoser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is selfcontained and requires only knowledge of the basic courses in mathematics. The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view
12 editions published in 2018 in English and held by 171 WorldCat member libraries worldwide
As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (KolmogorovArnoldMoser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is selfcontained and requires only knowledge of the basic courses in mathematics. The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view
Classical planar scattering by Coulombic potentials by Markus Klein(
Book
)
1 edition published in 1992 in English and held by 32 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 32 WorldCat member libraries worldwide
Ergodic and topological properties of Hamiltonian systems with two degrees of freedom by
Andreas Knauf(
Book
)
6 editions published in 1986 in English and German and held by 30 WorldCat member libraries worldwide
6 editions published in 1986 in English and German and held by 30 WorldCat member libraries worldwide
Classical Planar Scattering by Coulombic Potentials by Markus Klein(
)
1 edition published in 1992 in English and held by 23 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 23 WorldCat member libraries worldwide
Resonanzen für das quantenmechanische ZweizentrenProblem by
Marcello Seri(
)
1 edition published in 2012 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 16 WorldCat member libraries worldwide
Improbability Results on Collision and NonCollision Orbits in Multibody Systems via the Poincaré Surface Method by Stefan Fleischer(
Book
)
1 edition published in 2018 in English and held by 15 WorldCat member libraries worldwide
1 edition published in 2018 in English and held by 15 WorldCat member libraries worldwide
On a ferromagnetic spin chain by
Andreas Knauf(
Book
)
4 editions published in 1992 in English and Undetermined and held by 5 WorldCat member libraries worldwide
4 editions published in 1992 in English and Undetermined and held by 5 WorldCat member libraries worldwide
Quantum chaos and dynamical entropy by
Fabio Benatti(
Book
)
2 editions published in 1997 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 3 WorldCat member libraries worldwide
Hannay angles : existence and geometrical interpretation by S Golin(
Book
)
2 editions published in 1988 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1988 in English and held by 3 WorldCat member libraries worldwide
Irregular scattering, number theory, and statistical mechanics by
Andreas Knauf(
Book
)
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
Maximizing multiinformation by
Nihat Ay(
Book
)
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
Phases of the numbertheoretical spin chain by
Andreas Knauf(
Book
)
1 edition published in 1992 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 2 WorldCat member libraries worldwide
Number theory, dynamical systems and statistical mechanics by
Andreas Knauf(
Book
)
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
Free energy and correlations of the numbertheoretical spin chain by
Francesco Guerra(
Book
)
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide
Das NVortexSystem der klassischen Mechanik by
Andreas Knauf(
)
1 edition published in 1983 in German and held by 2 WorldCat member libraries worldwide
1 edition published in 1983 in German and held by 2 WorldCat member libraries worldwide
The ncentre problem of celestial mechanics by
Andreas Knauf(
Book
)
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
Entropy distance : new quantum phenomena by
Stephan Weis(
)
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
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Related Identities
 Sinaĭ, I︠A︡. G. (I︠A︡kov Grigorʹevich) 1935 Creator
 Baladi, Viviane Contributor
 Klein, M. (Markus) 1957 Author
 Denzler, Jochen Translator
 SpringerVerlag GmbH Publisher
 Klein, Markus Author
 Seri, Marcello Author
 Fleischer, Stefan Author
 Deutsche Forschungsgemeinschaft
 Sonderforschungsbereich Differentialgeometrie und Quantenphysik <Berlin>