The problem of two fixed centers: bifurcations, actions, monodromy
نویسندگان
چکیده
منابع مشابه
The Problem of Two Fixed Centers: Bifurcations, Actions, Monodromy
A comprehensive analysis of the Euler-Jacobi problem of motion in the field of two fixed attracting centers is given, first classically and then quantum mechanically in semiclassical approximation. The system was originally studied in the context of celestial mechanics but, starting with Pauli’s dissertation, became a model for one-electron molecules such as H2 (symmetric case of equal centers)...
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Abstract. The problem of two fixed centers is a classical integrable problem, stated and integrated by Euler in 1760. The integrability is due to the unexpected first integralG. Some straightforward generalizations of the problem still have the generalization of G as a first integral, but do not possess the energy integral. We present some numerical integrations suggesting that in the domain of...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2004
ISSN: 0167-2789
DOI: 10.1016/j.physd.2004.05.006