Semiclassic approach within the He atom sphere model

Abstract

ABSTRACT:The helium atom doubly excited-states energy levels are calculated for the 1 S-state. The He atom is considered as the three-atomic molecule. The electrons are supposed to move on the sphere of the equal radius. The rotation is described by the Euler angles, which can be divided in a standard way. Then, the hyperspherical coordinates are introduced. The adiabatic approach allows us to solve the equation on interelectron angle . We used the contour integral method for this equation. The equation on the hyperradius R was solved according to the semiclassic approach. The obtained results are in good agreement with those of some other works.