A compactness theorem for frozen planets
Urs Frauenfelder
TL;DR
This paper investigates the moduli space of frozen planet orbits in the Helium atom, demonstrating its compactness through an interpolation between instantaneous and mean interactions.
Contribution
It introduces a new compactness theorem for the moduli space of frozen planet orbits in the Helium atom, bridging different interaction models.
Findings
The moduli space of frozen planet orbits is compact.
Interpolation between interaction types affects the structure of the moduli space.
Theoretical framework for analyzing orbit configurations in atomic systems.
Abstract
We study the moduli space of frozen planet orbits in the Helium atom for an interpolation between instantaneous and mean interactions and show that this moduli space is compact.
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