6
A. V. Glushkov
Weyl’s theory by Hehenberger-McIntosh-Brändas and the Weyl’s theory [67–70]. In
any case one could wait for discovery of very interesting, non-trivial features of the
autoionization states in an external electric (laser) field especially for heavy atoms
and ions.
The purpose of this chapter is to present a generalized relativistic energy approach
to calculation of the autoionization decay (resonances) energies and probabilities
(widths) in the neutral multielectron atomic systems and multicharged ions and
illustrative data on the autoionization states parameters for some interesting complex atomic systems. The basis of an energy approach to one-electron ions has been
considered by Labzovsky et al. [112]. Originally the energy approach to radiative
and autoionization processes in multielectron atoms and ions has been developed by
Ivanova-Ivanov et al. [113–130] (the PC code “Superatom-ISAN”). More accurate,
advanced version of the relativistic energy approach has been further developed in
Refs. [118–122, 136–141].
The energy approach is based on the Gell-Mann and Low S-matrix formalism
combined with the relativistic perturbation theory (PT). In relativistic case the GellMann and Low formula expressed an energy shift E through the electrodynamical
scattering matrix including interaction with as the photon vacuum field as a laser field.
The first case is corresponding to determination of the radiative and autoionization
decays probabilities for atomic systems.
Earlier we have applied the corresponding generalized versions of the energy
approach to many problems of atomic, nuclear and even molecular spectroscopy,
including computing energy spectra and radiative decay (oscillator strengths) probabilities, energy and spectral characteristics of the cooperative electron-gammanuclear “shake-up” processes in atomic and molecular systems, multiple topics of
electron-muon-beta-gamma-nuclear spectroscopy, spectroscopy of atoms in a laser
field etc. [96, 135–179].
2 Relativistic Energy Approach to Calculation of Autoionization
Decay Processes in Multielectron Atoms
2.1 An Energy Approach. General Remarks
In non-relativistic theory of multi-electron atoms it is known an effective field
approach for computing the electron energy shift E of the degenerate states, which
are usually present in the dense spectra of the complex relativistic atomic multielectron systems (Tolmachev-Ivanov-Ivanova 1969–1974). The key algorithm of
this approach includes construction of the secular matrix M [114–118] with using
the known Gell-Mann and Low adiabatic formula and its further diagonalization.
The analogous approach using the Gell-Mann and Low formula with an electrodynamic scattering matrix has been developed in a theory of the relativistic atom
A. V. Glushkov
Weyl’s theory by Hehenberger-McIntosh-Brändas and the Weyl’s theory [67–70]. In
any case one could wait for discovery of very interesting, non-trivial features of the
autoionization states in an external electric (laser) field especially for heavy atoms
and ions.
The purpose of this chapter is to present a generalized relativistic energy approach
to calculation of the autoionization decay (resonances) energies and probabilities
(widths) in the neutral multielectron atomic systems and multicharged ions and
illustrative data on the autoionization states parameters for some interesting complex atomic systems. The basis of an energy approach to one-electron ions has been
considered by Labzovsky et al. [112]. Originally the energy approach to radiative
and autoionization processes in multielectron atoms and ions has been developed by
Ivanova-Ivanov et al. [113–130] (the PC code “Superatom-ISAN”). More accurate,
advanced version of the relativistic energy approach has been further developed in
Refs. [118–122, 136–141].
The energy approach is based on the Gell-Mann and Low S-matrix formalism
combined with the relativistic perturbation theory (PT). In relativistic case the GellMann and Low formula expressed an energy shift E through the electrodynamical
scattering matrix including interaction with as the photon vacuum field as a laser field.
The first case is corresponding to determination of the radiative and autoionization
decays probabilities for atomic systems.
Earlier we have applied the corresponding generalized versions of the energy
approach to many problems of atomic, nuclear and even molecular spectroscopy,
including computing energy spectra and radiative decay (oscillator strengths) probabilities, energy and spectral characteristics of the cooperative electron-gammanuclear “shake-up” processes in atomic and molecular systems, multiple topics of
electron-muon-beta-gamma-nuclear spectroscopy, spectroscopy of atoms in a laser
field etc. [96, 135–179].
2 Relativistic Energy Approach to Calculation of Autoionization
Decay Processes in Multielectron Atoms
2.1 An Energy Approach. General Remarks
In non-relativistic theory of multi-electron atoms it is known an effective field
approach for computing the electron energy shift E of the degenerate states, which
are usually present in the dense spectra of the complex relativistic atomic multielectron systems (Tolmachev-Ivanov-Ivanova 1969–1974). The key algorithm of
this approach includes construction of the secular matrix M [114–118] with using
the known Gell-Mann and Low adiabatic formula and its further diagonalization.
The analogous approach using the Gell-Mann and Low formula with an electrodynamic scattering matrix has been developed in a theory of the relativistic atom