SEMICLASSICAL HYPERSPHERICAL MATRIX-ELEMENTS FOR HELIUM DOUBLY-EXCITED STATES

A classical description of the two-electron atom, analogous to the qua ntum adiabatic hyperspherical channel approach, is presented. The clas sical problems, analogous to the quantum eigenvalue problem for the gr and angular momentum operator, and the separated dynamical systems def ined by each of the other constants of the motion of the non-interacti ng system are solved by using the Hamilton-Jacobi method. Some matrix elements of the Coulomb interaction terms of the Hamiltonian for doubl y excited helium atoms using the Heisenberg correspondence principle a re calculated.