Scaled Spectroscopy of 1Se and 1Po Highly Excited States of Helium

Abstract

In this paper, we examine the properties of the 1Se and 1Po states of helium, combining perimetric coordinates and complex rotation methods. We compute Fourier transforms of quantities of physical interest, among them the average of the operator cos(theta_12), which measures the correlation between the two electrons. Graphs obtained for both 1Se and 1Po states show peaks at action of classical periodic orbits, either "frozen planet" orbit or asymmetric stretch orbits. This observation legitimates the semiclassical quantization of helium with those orbits only, not just for S states but also for P states, which is a new result. To emphasize the similarity between the S and P states we show wavefunctions of 1Po states, presenting the same structure as 1Se states, namely the "frozen planet" and asymmetric stretch configurations.

revtex 15 pages with 6 figures, 2 figures (large) are available on request at email address [email protected]. to appear in J. Phys. B (April 98)

References in corpus (1)

• Photo-ionization of the helium atom close to the double ionization threshold: towards the Ericson regime

Cited by in corpus (4)

• Intermanifold similarities in partial photoionization cross sections of helium
• $\hslash$ corrections in semi-classical formula for smooth chaotic dynamics
• Series of molecular-like doubly excited states of a quasi-three-body Coulomb system
• Semi-classical analysis of real atomic spectra beyond Gutzwiller's approximation