## H2 molecule in strong magnetic fields    [PDF]

Mathieu Beau, Rafael Benguria, Raymond Brummelhuis, Pierre Duclos
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.
View original: http://arxiv.org/abs/1208.2713