Therm splitting in quantum mechanical double center problem for Dirac equation

An asimptotic (by large internuclear distance) theory of the quantum mechanical double center problem for the Dirac equation is presented. An asymptotic behaviour of the double center wave function of the Dirac electron for the system: an arbitrary ion plus atom is constructed. By using this function the leading term of the therm splitting asymptotics in the relativistic double center problem is found.