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arXiv · 2106.09288

The Stark problem as a concave toric domain

Urs Frauenfelder
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Abstract

The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains.

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Urs Frauenfelder. 2021-06-17. The Stark problem as a concave toric domain. https://arxiv.org/abs/2106.09288

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