Physics – Atomic Physics
Scientific paper
2010-08-15
published in:JETP, v. 108, pp. 583 - 592 (2009). In this version only a few corrections (in formulas) have been made
Physics
Atomic Physics
Scientific paper
The variational procedure to construct compact and accurate wave functions for three-electron atoms and ions is developed. The procedure is based on the use of six-dimensional gaussoids written in the relative four-body coordinates $r_{12}, r_{13}, r_{23}, r_{14}, r_{24}$ and $r_{34}$. The non-linear parameters in each basis function have been optimized carefully. By using these variational wave functions we have determined the energies and other bound state properties are determined for the ground $1^2S$-states in a number of three-electron atoms and ions. The three-electron atomic systems considered in this work include the neutral Li atom and nine positively charged lithium-like ions: Be$^+$, B$^{2+}$, C$^{3+}, ...$Na$^{8+}$ and Mg$^{9+}$. Our variational wave functions are used to determine the hyperfine structure splitting and field shifts for some lithium-like ions. The explicit formulas of the $Q^{-1}$ expansion are derived for the total energies of these three-electron systems.
Frolov Alexei M.
Wardlaw David M.
No associations
LandOfFree
Compact variational wave functions for bound states in three-electron atomic systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Compact variational wave functions for bound states in three-electron atomic systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compact variational wave functions for bound states in three-electron atomic systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-295532