Classical Planar Scattering by Coulombic Potentials

Markus Klein, Andreas Knauf (Autoren)

Buch | Softcover

V, 142 Seiten

2014 | 1. Softcover reprint of the original 1st ed. 1992
Springer Berlin (Verlag)
978-3-662-13900-4 (ISBN)

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Astronomy as well as molecular physics describe non-relativistic motion by an interaction of the same form: By Newton's respectively by Coulomb's potential. But whereas the fundamental laws of motion thus have a simple form, the n-body problem withstood (for n 2) all attempts of an explicit solution. Indeed, the studies of Poincare at the end of the last century lead to the conclusion that such an explicit solution should be impossible. Poincare himselfopened a new epoch for rational mechanics by asking qual itative questions like the one about the stability of the solar system. To a largeextent, his work, which was critical for the formation of differential geometry and topology, was motivated by problems arising in the analysis of the n-body problem ([38], p. 183). As it turned out, even by confining oneselfto questions ofqualitativenature, the general n-body problem could not be solved. Rather, simplified models were treated, like planar motion or the restricted 3-body problem, where the motion of a test particle did not influence the other two bodies.

Dr. rer. pol. Markus Klein ist wissenschaftlicher Mitarbeiter am Zentralarchiv für Empirische Sozialforschung der Universität Köln.

The Scattering Transformation.- Regularization.- Periodic Orbits.- Existence of an Invariant Cone Field.- Symbolic Dynamics.- Topological Entropy.- The Distribution of the Closed Orbits.- Fractional Dimension.- Time Delay.- Measure of the Bound States.- The Differential Cross Section.- Concluding Remarks.

Erscheint lt. Verlag	23.8.2014
Reihe/Serie	Lecture Notes in Physics Monographs
Zusatzinfo	V, 142 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 244 mm
Gewicht	292 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Chaotic Scattering • Chaotische Streuung • Coulomb-artige Singularitäten • Coulombic Singularity • Differentialgeometrie • Differential Geometry • Dynamical Systems • Dynamische Systeme • Ergodentheorie • ergodic theory
ISBN-10	3-662-13900-6 / 3662139006
ISBN-13	978-3-662-13900-4 / 9783662139004
Zustand	Neuware