The hydrogen atom between two metallic media

We present calculations of the time of life and the displacements of the hydrogenic atomic levels in the vacuum between two metallic parallel surfaces. An approximation is considered in which the electron interacts with the nucleus of infinite mass and with the two metallic media. In the vacuum the interaction is calculated with the method of electrostatic images. In the region near to the surfaces and inside the metal the approximations given by Borisov for the interaction of the electron with a Cu(111) surface are used. The system is described with a non Hermitic Hamiltonian that is obtained on having applied the method of the transformations of dilatation. Finally, the resultant Schroedinger equation is solved by means of the method of finite elements. The presence of the second metallic medium gives place to an important decrease of the times of life in comparison to the case of the only surface reported elsewhere. (author)