STATE-SPECIFIC THEORY AND COMPUTATION OF A POLYELECTRONIC ATOMIC STATE IN A MAGNETIC-FIELD - APPLICATION TO DOUBLY-EXCITED STATES OF H-

The problem of computing the intrinsic properties of the system 'many-electron atomic state plus magnetic field' is treated by formulating and solving state-specific, non-Hermitian matrices of manageable sizes. These are created by appropriate choices and optimization of different function spaces representing the localized and the asymptotic part of the wavefunction of the field-dressed state which is made square-integrable through the use of r --> re(-itheta) for the coordinate of the outgoing electron. The localized parts of the wavefunction and of the Hamiltonian are expressed in terms of the real coordinates. Application was made to the closely lying H- doubly excited states 2p2 3P, '2s2 + 2p2, 1S and 2p2 1D for field strengths gamma = 0.0-0.03 au and results were obtained for the variation of the binding energies with respect to the H n = 2 threshold, the autoionization widths and the geometrical shapes of the electron density.