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Classical Planar Scattering by Coulombic Potentials
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Classical Planar Scattering by Coulombic Potentials (Lecture Notes in Physics New Series M)0 Classical Planar Scattering by Coulombic Potentials (Lecture Notes in Physics New Series M) By M. Klein, A. Knauf Publisher: Springer Number Of Pages: 147 Publication Date: 1993-02 ISBN-10 / ASIN: 0387559876 ISBN-13 / EAN: 9780387559872 Binding: Hardcover 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 of such 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 book are 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. 下载地址： http://mihd.net/f2dogpr/0387559876.rar http://rapidshare.com/files/163137678/0387559876.rar 增加网盘下载： http://www.namipan.com/d/09473da ... 6274b4ff19575f45900 [ Last edited by 小龙人 on 2008-11-15 at 12:51 ] |
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2008-11-16 11:39
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