Unified Description
of Radiative and Dielectronic Recombination
Dr. Verne L. Jacobs
Naval Research Laboratory
4:00 PM Tuesday, November 16, 1999
Pratt Conference Room
Harvard-Smithsonian Center for Astrophysics
Abstract:
Radiative and dielectronic recombination of multiply charged
many-electron ions in electron-ion beam interactions and high-temperature
plasmas are usually treated as independent, non-interfering processes.
A projection-operator and resolvent-operator approach has been
developed to provide a fundamental, unified quantum-mechanical
description of the combined electron-ion photo-recombination
process. By means of HULLAC (Hebrew University Lawrence Livermore
Atomic Code), dielectronic
recombination satellite spectra have been obtained for radiative
transitions from autoionizing states in Li-like ions. For certain
transitions, significant interference effects are predicted in
the form of radiatively-modified, asymmetric satellite cross
sections or spectral line
shapes. This ordinary Hilbert-space approach provides a valid
description in low-density electron-ion beam interactions or
in low-density plasmas.
A density-matrix formulation has been development for high-density
plasmas, for which collisional and radiative relaxation processes
can play an important role. Using Liouville-space projection-operator
techniques, collisional and radiative relaxation processes are
incorporated, on an equal footing and in a self-consistent manner,
with autoionization and radiative emission. Both time-independent
(resolvent-operator) and time-dependent
(equation-of-motion) formulations are developed. The density-matrix
approach provides a comprehensive description of the broadening
of dielectronic satellite spectral lines due to autoionization
processes, radiative transitions, electron-ion collisions, and
electric and magnetic fields. By means of the density-matrix
approach, radiation processes involving resonant and non-resonant
transitions in a diverse class of quantized electronic
systems can be treated within the context of a single quantum
statistical formulation.
|