A New Method for Calculations of Two-Electron Systems in Magnetic Field

A method suitable for two-electron systems in a range running from low to high 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 integrals and analytic ones. As a result, lower energies compared to those obtained with spherical coordinates in low fields, and cylindrical coordinates in high fields are presented.