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Energies and spatial observables for the $^1\Sigma_g$ state of the hydrogenmolecule in magnetic fields parallel to the proton-proton axis are calculatedwith a guided random walk Feynman-Kac algorithm. We demonstrate that theaccuracy of the results and the simplicity of the method may prove it a viablealternative to large basis set expansions for small molecules in appliedfields.Comment: 10 pages, no figure

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

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Guided random-walk calculation of energies and〈r2〉values of the1