M. Bylicki et al., STATE-SPECIFIC THEORY AND COMPUTATION OF A POLYELECTRONIC ATOMIC STATE IN A MAGNETIC-FIELD - APPLICATION TO DOUBLY-EXCITED STATES OF H-, Journal of physics. B, Atomic molecular and optical physics, 27(13), 1994, pp. 2741-2751
The problem of computing the intrinsic properties of the system 'many-
electron atomic state plus magnetic field' is treated by formulating a
nd solving state-specific, non-Hermitian matrices of manageable sizes.
These are created by appropriate choices and optimization of differen
t function spaces representing the localized and the asymptotic part o
f the wavefunction of the field-dressed state which is made square-int
egrable 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. Applicati
on 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 resu
lts were obtained for the variation of the binding energies with respe
ct to the H n = 2 threshold, the autoionization widths and the geometr
ical shapes of the electron density.