Bound-state relativistic quantum electrodynamics: a perspective for precision physics with atoms and molecules

Abstract

Precision physics aims to use atoms and molecules to test and develop the fundamental theory of matter, possibly beyond the Standard Model. Most of the atomic and molecular phenomena are described by the QED (quantum electrodynamics) sector of the Standard Model. Do we have the computational tools, algorithms, and practical equations for the most possible complete computation of atoms and molecules within the QED sector? What is the fundamental equation to start with? Is it still Schrödinger's wave equation for molecular matter, or is there anything beyond that? This paper provides a concise overview of the relativistic QED framework and recent numerical developments targeting precision physics and spectroscopy applications with common features with the robust and successful relativistic quantum chemistry methodology.

References in corpus (24)

• Theory of Light Hydrogenlike Atoms
• The DIRAC code for relativistic molecular calculations
• ${\alpha }^4$ Ry corrections to singlet states of helium
• Frequency metrology of helium around 1083 nm and determination of the nuclear charge radius
• Precision spectroscopy of helium in a magic wavelength optical dipole trap
• Ionization Potential of the Helium Atom
• Nonrelativistic energy levels of helium atom
• Quantum Electrodynamics of the Helium Atom
• Non-adiabatic, Relativistic, and Leading-order QED Corrections for Rovibrational Intervals of ${}^4$He${}_2^{+}$ ($X{}^2{\Sigma }_{\mathrm{u}}^{+}$)
• Mass-difference measurements on heavy nuclides with at an eV/c2 accuracy level with PENTATRAP
• All-order relativistic computations for atoms and molecules using an explicitly correlated Gaussian basis
• Atomic structure calculations of helium with correlated exponential functions
• Variational Dirac-Coulomb explicitly correlated computations for atoms and molecules
• Precise computation of rovibronic resonances of molecular hydrogen: $EF{}^1{\Sigma }_{\mathrm{g}}^{+}$ inner-well rotational states
• On the Breit interaction in an explicitly correlated variational Dirac-Coulomb framework
• Non-adiabatic mass correction for excited states of molecular hydrogen: improvement for the outer-well $H\bar{H}{}^1{\Sigma }_{\mathrm{g}}^{+}$ term values
• Variational versus perturbative relativistic energies for small and light atomic and molecular systems
• The Bethe-Salpeter QED wave equation for bound-state computations of atoms and molecules
• Evaluation of the Bethe logarithm: from atom to chemical reaction
• Pre-Born-Oppenheimer energies, leading-order relativistic and QED corrections for electronically excited states of molecular hydrogen
• Relativistic two-electron atomic and molecular energies using $LS$ coupling and double groups: role of the triplet contributions to singlet states
• Pre-Born-Oppenheimer Dirac-Coulomb-Breit computations for two-body systems
• Atomic Bethe logarithm in the mean-field approximation
• One-particle operator representation over two-particle basis sets for relativistic QED computations

Cited by in corpus (4)

• Regularized relativistic corrections for polyelectronic and polyatomic systems with explicitly correlated Gaussians
• Relativistic atomic structure calculations in support of spectroscopy
• Double-pair Coulomb and Breit photon correction to the correlated relativistic energy
• Rovibrational computations for the He${}_2$ a ${}^3{\Sigma }_{\mathrm{u}}^{+}$ state including non-adiabatic, relativistic, and QED corrections