title: Schrödinger equation solved for the hydrogen molecule with unprecedented accuracy.
abstract: The hydrogen molecule can be used for determination of physical constants, including the proton charge radius, and for improved tests of the hypothetical long range force between hadrons, which require a sufficiently accurate knowledge of the molecular levels. In this work, we perform the first step toward a significant improvement in theoretical predictions of H2 and solve the nonrelativistic Schrödinger equation to the unprecedented accuracy of 10(-12). We hope that it will inspire a parallel progress in the spectroscopy of the molecular hydrogen.
authors.affiliation: Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland.
authors.forename: Krzysztof
authors.initials: K
authors.lastname: Pachucki
authors.affiliation: Faculty of Chemistry, Adam Mickiewicz University, Umultowska 89b, 61-614 Poznań, Poland.
authors.forename: Jacek
authors.initials: J
authors.lastname: Komasa