G. Csanak et al., MANY-BODY THEORY OF ELECTRON-SCATTERING BY EXCITED ATOMIC TARGETS - FUNDAMENTAL FORMULAS, Physical review. A, 48(4), 1993, pp. 2811-2827
A many-body theory of electron-impact excitation out of excited atomic
states is presented. After the fundamental equations and formulas of
the general theory are given, first- and second-order approximations a
re introduced. In the case of the first-order theory, detailed analyti
cal formulas are also developed. The physical interpretation of the fi
rst- and second-order theories are presented with the aid of Feynman-t
ype diagrams. Following a discussion of initial- and final-state effec
ts, the many-body theory is also related to the distorted-wave approxi
mation.