11 citations · 20 across the 6 of their papers we have counts for
5 papers · 1 filter
One-loop self-energy using a numerical Green function
Hugo D. Nogueira, Maen Salman, Jean-Philippe Karr
We calculate the one-loop self-energy in hydrogenlike atoms using a numerical Green function obtained by solving the radial Dirac equation in an exponential basis set. The self-ene…
High-precision Penning-trap spectroscopy of the ground-state spin structure of HD+
Charlotte M. König, Matthew Bohman, Fabian Heiße +10
We present high-precision spectroscopy of the ground-state hyperfine structure of HD at 4~T. We determine the bound-electron factor, $g_{e,\mathrm{bound}} = -2.002\,278\,54…
Precision calculation of the bound-electron factor in molecular hydrogen ions
Ossama Kullie, Hugo D. Nogueira, Jean-Philippe Karr
We calculate the bound-electron factor for a wide range of rovibrational states of the molecular hydrogen ions H and HD. Relativistic and QED corrections of orders up…
High-precision solution of the Dirac Equation for the hydrogen molecular ion using a basis-set expansion
Hugo D. Nogueira, Jean-Philippe Karr
The Dirac equation for H is solved numerically by expansion in a basis set of two-center exponential functions, using different kinetic balance schemes. Very high precision (…
High-precision solution of the Dirac Equation for the hydrogen molecular ion by an iterative method
Hugo D. Nogueira, Vladimir I. Korobov, Jean-Philippe Karr
The Dirac equation for H is solved numerically using an iterative method proposed by Kutzelnigg [Z. Phys. 11, 15 (1989]. The four-component wavefunction is expanded in a newl…