Knauf A (2001)
Publication Type: Journal article, Original article
Publication year: 2001
Publisher: European Mathematical Society
Book Volume: 4
Pages Range: 1-114
We consider the classical three-dimensional motion in a potential which is the sum of
Whereas for
Then we set up scattering theory, including symbolic dynamics of the scattering orbits and differential cross section estimates.
The theory includes the
To allow for applications in semiclassical molecular scattering, we include an additional smooth (electronic) potential which is arbitrary except its Coulombic decay at infinity. Up to a (optimal) relative error of order 1/E, all estimates are independent of that potential but only depend on the relative positions and strengths of the centres.
Finally we show that different, non-universal, phenomena occur for collinear configurations.
APA:
Knauf, A. (2001). The n-Centre Problem of Celestial Mechanics. Journal of the European Mathematical Society, 4, 1-114. https://doi.org/10.1007/s100970100037
MLA:
Knauf, Andreas. "The n-Centre Problem of Celestial Mechanics." Journal of the European Mathematical Society 4 (2001): 1-114.
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