Exact matrix elements of the Uehling potential in a basis of explicitly correlated two-particle functions

1 May 1987

journal article
research article
Published by American Physical Society (APS) in Physical Review A

Vol. 35 (10) , 4055-4059
https://doi.org/10.1103/physreva.35.4055

Abstract

Exact analytical expressions are derived for the matrix elements of the Uehling potential in a basis of explicitly correlated two-particle wave functions (geminals) used for the approximate solution of the quantum-mechanical three-body problem within the framework of the integral transform method. The derived formulas may be used to include corrections due to polarization of the vacuum in calculations of the binding energies of muonic molecules.

Keywords

This publication has 20 references indexed in Scilit:

Variational calculation of the muon–alpha-particle sticking probabilities in the muon-catalyzed fusion dtμ→μ ${}^{4}$ He+n
Physical Review A, 1986
The dynamic two-center problem for three-body rotational states and the classical rotator model: Calculation of the J = 2 resonance in the ttμ− system
Physics Letters B, 1985
Variational calculation of the energy levels of the ${(d t μ)}^{+}$ molecule
Physical Review A, 1985
An accurate method in the Coulomb three-body problem and muonic-molecule excited states
Journal of Physics B: Atomic and Molecular Physics, 1985
High accuracy energy-level calculations of the rotational-vibrational weakly bound states of ddμ and dtμ mesic molecules
Physics Letters B, 1985
Variational calculations of muonic-molecule energy levels
Physical Review A, 1984
Mesic molecules and muon catalysed fusion
Physics Reports, 1982
Binding energies of the lowest excited states of Wannier exciton and Wannier-exciton-ionised-donor complex in CdS
Journal of Physics C: Solid State Physics, 1980
Effective electron-hole interaction potentials and the binding energies of exciton-ionized-donor complexes
Physical Review B, 1978
Compact and accurate integral-transform wave functions. I. The $1 {}^{1}S$ state of the helium-like ions from $H^{-}$ through ${Mg}^{10 +}$
Physical Review A, 1977