VARIATIONAL EQUATION OF STATES OF ARBITRARY ANGULAR-MOMENTUM FOR 2-PARTICLE SYSTEMS

Work on the reduction of independent variables in the Schrodinger equation for two-particle systems from six to three is extended to give a closed expression of the variational equation for states of arbitrary total angular momentum. The method consists of writing the Hamiltonian in six coordinates, by a suitable choice of transformation equations, and evaluating integrals involving real angular-momentum functions. An existing variational equation for P states follows as a special case of the present formalism