Geometrical symmetry of atoms with applications to semiclassical calculation of energetic values

@article{Popa2009GeometricalSO,
  title={Geometrical symmetry of atoms with applications to semiclassical calculation of energetic values},
  author={Adrian Claudiu Popa},
  journal={The European Physical Journal D},
  year={2009},
  volume={54},
  pages={575-583}
}
In previous papers we proved that, for stationary systems, the geometric elements of the wave described by the Schrödinger equation, namely the characteristic surfaces and their normals, are periodic solutions of the Hamilton-Jacobi equation. In this paper we prove that the Hamilton-Jacobi equation admits periodic solutions with the same geometrical symmetries as the wave function of the system in the case of the beryllium, boron, carbon and oxygen atoms. The above property is a reflection of… CONTINUE READING