H2 molecule in strong magnetic fields

H2 molecule in strong magnetic fields

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...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2010-11, Vol.43, p.474005
Hauptverfasser: Beau, M, Benguria, R, Brummelhuis, R, Duclos, P
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Sprache:eng
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Analysis of PDEs
Atomic Physics
Mathematical Physics
Mathematics
Physics
Quantum Physics
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container_title Journal of physics. A, Mathematical and theoretical
container_volume 43
creator Beau, M
Benguria, R
Brummelhuis, R
Duclos, P
description 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.
doi_str_mv 10.1088/1751-8113/43/47/474005
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source IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link
subjects Analysis of PDEs
Atomic Physics
Mathematical Physics
Mathematics
Physics
Quantum Physics
title H2 molecule in strong magnetic fields
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