Hydride exchange via two-dimensional vibrational tunneling

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Abstract
We obtain analytic expressions for the zero temperature and finite temperature exchange interaction between two hard sphere fermions bound in a symmetric double‐well potential in 1, 2, and 3 dimensions and discuss the effect of dimensionality on the model. The three‐dimensional model (due to Zilm/Landesmann) and the two‐dimensional model presented here are of relevance to the strongly temperature dependent exchange interaction that has been observed between hydrides bound in metal polyhydride complexes.