H2 MOLECULE IN STRONG MAGNETIC FIELDS - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2010

H2 MOLECULE IN STRONG MAGNETIC FIELDS

Résumé

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 ̈dinger operator with interactions given by one-dimensional δ-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.
Fichier principal
Vignette du fichier
H2Molecule.pdf (230.69 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00723772 , version 1 (13-08-2012)

Identifiants

Citer

Mathieu Beau, Rafael Benguria, Raymond Brummelhuis, Pierre Duclos. H2 MOLECULE IN STRONG MAGNETIC FIELDS. Journal of Physics A: Mathematical and Theoretical, 2010, 43, pp.474005. ⟨10.1088/1751-8113/43/47/474005⟩. ⟨hal-00723772⟩
291 Consultations
183 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More