Schrödinger equation solved for the hydrogen molecule with unprecedented accuracy

Abstract

The hydrogen molecule can be used for determination of physical constants and for improved tests of the hypothetical long range force between hadrons, which requires a sufficiently accurate knowledge of the molecular levels. For this reason, we have undertaken a project of significant improvements in theoretical predictions of H${}_2$ and perform the first step, which is the solution of the nonrelativistic Schrödinger equation to the unprecedented accuracy of $10^{-12}$. This will inspire, we hope, a parallel progress in the spectroscopy of the molecular hydrogen.

References in corpus (3)

• High-precision measurement of the atomic mass of the electron
• Two-center two-electron integrals with exponential functions
• Deuteron and triton magnetic moments from NMR spectra of the hydrogen molecule

Cited by in corpus (21)

• Sub-Doppler frequency metrology in HD for test of fundamental physics
• Toward a determination of the proton-electron mass ratio from the Lamb-dip measurement of HD
• Benchmarking theory with an improved measurement of the ionization and dissociation energies of H${}_2$
• Rovibrational energy levels of the hydrogen molecule through nonadiabatic perturbation theory
• Nonadiabatic QED correction to the dissociation energy of the hydrogen molecule
• Dissociation energy of the hydrogen molecule at 10${}^{-9}$ accuracy
• Complete ${\alpha }^{6}m$ corrections to the ground state of H${}_2$
• Relativistic corrections for the ground electronic state of molecular hydrogen
• Quantum control of molecules for fundamental physics
• Deuteron charge radius and Rydberg constant from spectroscopy data in atomic deuterium
• Dissociation Energy of Molecular Hydrogen Isotopologues
• Nuclear-Electronic All-Particle Density Matrix Renormalization Group
• Determination of the He-He, Ne-Ne, Ar-Ar, and H${}_2$ interaction potential by wave function imaging
• Relativistic and QED effects in the fundamental vibration of T${}_2$
• Improved Ionization and Dissociation Energies of the Deuterium Molecule
• Hyperfine components of all rovibrational quadrupole transitions in the H${}_2$ and D${}_2$ molecules
• Nonrelativistic energy of tritium-containing hydrogen molecule isotopologues
• Hydrogen molecule spectrum by many-body GW and Bethe-Salpeter equation
• Spontaneous Electron Emission Versus Dissociation in Internally Hot Silver Dimer Anions
• Metallization of solid molecular hydrogen in two dimensions: Mott-Hubbard-type transition
• Cavity buildup dispersion spectroscopy