Application of geometrical methods to study the spin 1 particle with electric quadrupole moment in the Coulomb field

Abstract

The quantum-mechanical problem for a spin 1 particles with electric quadrupole moment in the presence of external Coulomb field was studied in [1]. The system of two second-order differential equations for two radial functions of spin 1 particle with electric quardupole moment was obtained in non-relativistic approximation from a relativistic Duffing-Kemmer like equation by diagonalization of the operators of particle energy and total angular momentum and of the spatial inversion operator. In this study we apply Kosambi– Cartan–Chern geometrical approach (KCC-theory) to investigate this system.