H2 molecule in strong magnetic fields
Mathematical Physics
2012-08-16 v1 math.MP
Atomic Physics
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.
Cite
@article{arxiv.1208.2713,
title = {H2 molecule in strong magnetic fields},
author = {Mathieu Beau and Rafael Benguria and Raymond Brummelhuis and Pierre Duclos},
journal= {arXiv preprint arXiv:1208.2713},
year = {2012}
}