Schrödinger equation solved for the hydrogen molecule with unprecedented accuracy
Krzysztof Pachucki1, Jacek Komasa2
1Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland.
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.
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