Recurrence Spectra of the Rydberg Hydrogen Atom near TwoParallel Metal Surfaces

Abstract

Using closed orbit theory, we study the influence of the two parallelmetal surfaces on the recurrence spectra of a hydrogen atom placed inthe region between the two surfaces. The results show that the metalsurfaces have significant effect on the photoabsorption process. Eachresonance peak in the recurrence spectra is associated with oneelectronic closed orbit. In our work, we put the first metal surface atthe critical value dc and vary the second metal surface.The results show that when the distances between the hydrogen atom andthe two metal surfaces are close to the critical valuedc,the number of the closed orbits is the greatest and there are morepeaks in the recurrence spectra. When the distance between the atom andthe second metal surface is larger or smaller than dc, thenumber of the closed orbits decreases and there are fewer peaks in therecurrence spectra. The agreement between the semiclassical calculationspectra and the quantum calculation spectra suggests that our analysisis correct.