Boundary-layer method in the problem of one-electron exchange interaction between atom and multiply charged ion

Abstract

Using the idea of the boundary-layer method the recurrent scheme of obtaining the quasiclassical solutions of the quantum mechanical two-centre problem is elaborated. By means of this scheme the two-centre wave function is constructed in the classically forbidden regions. This allows for the first time to calculate the asymptotic (at large internuclear distances) behavior of the exchange interaction potential for an ion with an atom.