activity
20222026
most citedHigh-precision solution of the Dirac Equation for the hydrogen molecular ion using a basis-set expansion

11 citations · 20 across the 6 of their papers we have counts for

collaborators

7 papers

quant-ph2026

Grow, Compress, and Perturb: A Hybrid Quantum-Classical Pathway to Scalable Quantum Chemistry on Quantum Computers

Hugo D. Nogueira, Siwar Badreddine, Olivier Adjoua +3

While Variational Quantum Eigensolver (VQE) variants are among the leading candidates for electronic structure calculations on quantum computers, gradient-based operator selection…

physics.atom-ph2026

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…

physics.atom-ph2026★ 2 cited

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…

quant-ph2025

Quantum Computing Approach to Atomic and Molecular Three-Body Systems

Mohammad Haidar, Hugo D. Nogueira, J. -Ph. Karr

We present high-precision quantum computing simulations of three-body atoms (He, H) and molecules (H, HD), the latter being studied beyond the Born-Oppenheimer approx…

physics.atom-ph2025

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…

physics.atom-ph2023★ 11 cited

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 (…

physics.atom-ph2022★ 7 cited

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…