Schrödinger equation solved for the hydrogen molecule with unprecedented accuracy

Krzysztof Pachucki; Jacek Komasa

doi:10.1063/1.4948309

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arXiv · 1601.03685

Schrödinger equation solved for the hydrogen molecule with unprecedented accuracy

Krzysztof Pachucki·Jacek Komasa

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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.

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Krzysztof Pachucki, Jacek Komasa. 2016-01-14. Schrödinger equation solved for the hydrogen molecule with unprecedented accuracy. https://doi.org/10.1063/1.4948309

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