Mohamed A., Parisse B.
Construction BKW pour l'operateur de Dirac. Cas d'un potentiel periodique.
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ABSTRACT. In the first part of this work, we compute explicitly the principal
symbol of a WKB solution of the Dirac operator along a planar
Agmon geodesic starting from a non-degenerate ponctual well.
In the second part, we apply this result to study the band spectrum of a
periodic Dirac operator near the minimum of the potential, we construct
a class of potentials where the multiplicity of the Floquet eigenvalues is 1.