Band 27
Classical Nonintegrability, Quantum Chaos
With a contribution by Viviane Baladi
Fr. 52.90
inkl. gesetzl. MwSt.Beschreibung
Details
Einband
Taschenbuch
Erscheinungsdatum
20.03.1997
Verlag
Springer BaselSeitenzahl
102
Maße (L/B/H)
23.5/15.5/0.7 cm
Our DMV Seminar on 'Classical Nonintegrability, Quantum Chaos' intended to introduce students and beginning researchers to the techniques applied in nonin tegrable classical and quantum dynamics. Several of these lectures are collected in this volume. The basic phenomenon of nonlinear dynamics is mixing in phase space, lead ing to a positive dynamical entropy and a loss of information about the initial state. The nonlinear motion in phase space gives rise to a linear action on phase space functions which in the case of iterated maps is given by a so-called transfer operator. Good mixing rates lead to a spectral gap for this operator. Similar to the use made of the Riemann zeta function in the investigation of the prime numbers, dynamical zeta functions are now being applied in nonlinear dynamics. In Chapter 2 V. Baladi first introduces dynamical zeta functions and transfer operators, illustrating and motivating these notions with a simple one-dimensional dynamical system. Then she presents a commented list of useful references, helping the newcomer to enter smoothly into this fast-developing field of research. Chapter 3 on irregular scattering and Chapter 4 on quantum chaos by A. Knauf deal with solutions of the Hamilton and the Schr6dinger equation. Scatter ing by a potential force tends to be irregular if three or more scattering centres are present, and a typical phenomenon is the occurrence of a Cantor set of bounded orbits. The presence of this set influences those scattering orbits which come close.
Weitere Bände von Oberwolfach Seminars
-
Zur Artikeldetailseite von Lectures on Vanishing Theorems des Autors Esnault
Band 20Esnault
Lectures on Vanishing TheoremsBuch
Fr. 119.00
-
Zur Artikeldetailseite von Computational Algebraic Number Theory des Autors M.E. Pohst
Band 21M.E. Pohst
Computational Algebraic Number TheoryBuch
Fr. 45.90
-
Zur Artikeldetailseite von Topics in Control Theory des Autors Hans W. Knobloch
Band 22Hans W. Knobloch
Topics in Control TheoryBuch
Fr. 45.90
-
Zur Artikeldetailseite von Homotopy Theory and Models des Autors Marc Aubry
Band 24Marc Aubry
Homotopy Theory and ModelsBuch
Fr. 72.90
-
Zur Artikeldetailseite von Lectures on Spaces of Nonpositive Curvature des Autors Werner Ballmann
Band 25Werner Ballmann
Lectures on Spaces of Nonpositive CurvatureBuch
Fr. 45.90
-
Zur Artikeldetailseite von Geometry of Higher Dimensional Algebraic Varieties des Autors Thomas Peternell
Band 26Thomas Peternell
Geometry of Higher Dimensional Algebraic VarietiesBuch
Fr. 45.90
-
Zur Artikeldetailseite von Classical Nonintegrability, Quantum Chaos des Autors Andreas Knauf
Band 27Andreas Knauf
Classical Nonintegrability, Quantum ChaosBuch
Fr. 52.90
-
Zur Artikeldetailseite von Scaling Limits and Models in Physical Processes des Autors Carlo Cercignani
Band 28Carlo Cercignani
Scaling Limits and Models in Physical ProcessesBuch
Fr. 52.90
-
Zur Artikeldetailseite von Polytopes - Combinations and Computation des Autors Gil Kalai
Band 29Gil Kalai
Polytopes - Combinations and ComputationBuch
Fr. 52.90
-
Zur Artikeldetailseite von Hermann Weyl's Raum - Zeit - Materie and a General Introduction to His Scientific Work des Autors Erhard Scholz
Band 30Erhard Scholz
Hermann Weyl's Raum - Zeit - Materie and a General Introduction to His Scientific WorkeBook
Fr. 84.90
-
Zur Artikeldetailseite von Infinite Dimensional Kähler Manifolds des Autors Alan Huckleberry
Band 31Alan Huckleberry
Infinite Dimensional Kähler ManifoldsBuch
Fr. 73.90
-
Zur Artikeldetailseite von Ten Lectures on Random Media des Autors Erwin Bolthausen
Band 32Erwin Bolthausen
Ten Lectures on Random MediaBuch
Fr. 45.90
Unsere Kundinnen und Kunden meinen
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kund*innen durch Ihre Meinung
Erste Bewertung verfassen