A method suitable for two-electron systems in a range running from low to h
igh fields is given. M-L = -1 triplet state of H- ion and He atom are used
to introduce the new means. All the matrix elements in our calculations are
formulated as products of simple, independent one-dimensional numerical in
tegrals and analytic ones. As a result, lower energies compared to those ob
tained with spherical coordinates in low fields, and cylindrical coordinate
s in high fields are presented.