3 papers
math.SG2026
A Floer Theoretic Approach to Energy Eigenstates on one Dimensional Configuration Spaces
Kevin Ruck
In this article we consider two classical problems in Quantum Mechanics, namely the 'particle on a ring' and the 'particle in a box' from the viewpoint of symplectic topology. Inte…
math.SG2025
Consecutive collision orbits in the restricted three-body problem above the first critical energy value
Jungsoo Kang, Kevin Ruck
In this paper, we study the planar circular restricted three-body problem for energy levels slightly above the first critical value. We first observe that the energy hypersurfaces…
math.DS2025
Spatial Stark-Zeeman Systems and Their Regularizations
Seongchan Kim, Kevin Ruck
In this article, we study spatial Stark-Zeeman systems which describe the dynamics of a charged particle moving in three-dimensional space under the influence of a Coulomb potentia…