Numerical test of the equality of the ‘‘length’’ and ‘‘velocity’’ forms of oscillator strengths for Li i in the Dirac-Fock approximation

Abstract

Transition matrix elements and oscillator strengths are calculated for various transitions between discrete levels of the neutral Li atom in the Dirac-Fock approximation, in the ‘‘length’’ and ‘‘velocity’’ forms, using nonlocal effective currents determined from quantum field theory. The matrix elements and oscillator strengths are shown to be numerically equal in the two forms, for this specific example, thereby verifying a previously given general proof of this equality.