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arXiv · 1208.2713

H2 molecule in strong magnetic fields

Mathieu Beau·Rafael Benguria·Raymond Brummelhuis·Pierre Duclos
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Abstract

The Pauli-Hamiltonian of a molecule with fixed nuclei in a strong constant magnetic field is asymptotic, in norm-resolvent sense, to an effective Hamiltonian which has the form of a multi-particle Schr\"odinger operator with interactions given by one-dimensional \delta-potentials. We study this effective Hamiltonian in the case of the H2 -molecule and establish existence of the ground state. We also show that the inter-nuclear equilibrium distance tends to 0 as the field-strength tends to infinity.

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Mathieu Beau, Rafael Benguria, Raymond Brummelhuis, Pierre Duclos. 2012-08-13. H2 molecule in strong magnetic fields. https://doi.org/10.1088/1751-8113/43/47/474005

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