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Semiclassical expansion of the ground state for a model of interacting spins in QED

2016/03/28 by Amour, Laurent, Nourrigat, Jean
#35S05 #81Q20 #81V10 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1603.08439

Abstract

In this article, we consider fixed spin 1/2 particles interacting through the quantized electromagnetic field in a constant magnetic field. We give some asymptotic expansions for the ground state and the ground state energy of the Hamiltonian operator H(h) describing this system. The first terms of these expansions enable to recover elementary formulas for the energy and the magnetic field of the spins when considered as magnets. A first order radiative correction is computed for the energy.

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