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    H2 Molecule in Strong Magnetic Fields

    Beau, M. and Benguria, R. and Brummelhuis, Raymond and Duclos, P. (2010) H2 Molecule in Strong Magnetic Fields. Journal of Physics A: Mathematical and Theoretical 43 (47), pp. 474005-474021. ISSN 1751-8113.

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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 Schrödinger operator with interactions given by one-dimensional δ-potentials. We study this effective Hamiltonian in the case of the H2 molecule and establish the existence of the ground state. We also show that the inter-nuclear equilibrium distance tends to 0 as the field strength tends to infinity.

    Metadata

    Item Type: Article
    Keyword(s) / Subject(s): Atomic and molecular physics, Computational physics
    School: School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Raymond Brummelhuis
    Date Deposited: 28 May 2013 11:56
    Last Modified: 10 Feb 2021 09:32
    URI: https://eprints.bbk.ac.uk/id/eprint/6988

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