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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Classical Planar Scattering by Coulombic Potentials

Classical Planar Scattering by Coulombic Potentials

Klein, Markus
Knauf, Andreas

Paperback

Series: Lecture Notes in Physics Monographs, Book 13

Technology & EngineeringGeometryPhysics

ISBN10: 3662139006
ISBN13: 9783662139004
Publisher: Springer Nature
Published: Aug 23 2014
Pages: 142
Weight: 0.56
Height: 0.33 Width: 6.69 Depth: 9.61
Language: English
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.

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