Two-center problem for the dirac equation
V. I. MatveevDepartment of Thermal Physics, Academy of Sciences of Uzbekistan, ul. Karatal 28, Tashkent, 700135, Republic of UzbekistanD. U. MatrasulovDepartment of Thermal Physics, Academy of Sciences of Uzbekistan, ul. Karatal 28, Tashkent, 700135, Republic of UzbekistanH. Yu. RakhimovDepartment of Thermal Physics, Academy of Sciences of Uzbekistan, ul. Karatal 28, Tashkent, 700135, Republic of Uzbekistan
ABI
Abstract
The ground-state wave function and the energy term of a relativistic electron moving in the field of two fixed Coulomb centers are calculated analytically by the LCAO method. The resulting analytic formula is used to calculate the critical internuclear distance at which the energy term crosses the boundary of the lower continuum.