Recently, the special interest to the exploration of the system “atom adsorbed on the cryogenic surface” has emerged. This interest is concerned with the construction of the hydrogen masers [1], which are important for metrological applications, with the preparation of the high densities of the quantum states of the spin-polarized hydrogen type [2] and with studies of transfer processes in highly degenerate systems [3]. In the paper [4] the authors considered the adsorption of the Rydberg atom by the cryogenic surfaces of the dielectric (see, also [19]). The bound state of an atom with a surface is formed, consisting of a ionic core and a highly excited electron. The wave functions of electron can be “semi-spheric” (the interaction with ionic core exceeds the interaction of the electron with its image) or “flat” depending on the level of excitation of an atom.