On one version of WKB method in the problem of tunnel ionization of an atom by uniform electric field // Proceedings of the 16th Small Triangle Meeting

Abstract

The recurrent scheme of finding the quasiclassical solutions of the one-dimensional equation obtained at separation of the Schrodinger equation in the parabolic coordinates is elaborated. By means of this scheme of WKB expansions the wavefunctions in the problem of the hydrogen-like atom in the constant uniform electric field are constructed in the classically forbidden and allowed regions. This has allowed to calculate the leading terms of the asymptotic (at small intensity of electric field) formula of probability of tunneling ionization of the H-like atom. The results of calculations show high accuracy of this formula. It is shown that the result obtained can be used to find the asymptotics of the tunnel ionization rate of an arbitrary atom in the constant uniform electric field. Also the ionization rate of the one time charged negative ion in such external field is obtained.