Weyl formulae for the Robin Laplacian in the semiclassical limit

Ayman Kachmar (1) , Pierig Keraval (2) , Nicolas Raymond (2)

1 LU / ULB - الجامعة اللبنانية [بيروت] = Lebanese University [Beirut] = Université libanaise [Beyrouth]
2 IRMAR - Institut de Recherche Mathématique de Rennes

This paper is devoted to establish semiclassical Weyl formulae for the Robin Laplacian on smooth domains in any dimension. Theirs proofs are reminiscent of the Born-Oppenheimer method.

Mots clés: Robin Laplacian; Born-Oppenheimer approximation; Weyl formulae

Domaines: Théorie spectrale [math.SP]; Physique mathématique [math-ph]

Ayman Kachmar, Pierig Keraval, Nicolas Raymond. Weyl formulae for the Robin Laplacian in the semiclassical limit. Confluentes Mathematici, 2016, 8 (2), pp.39-57. ⟨hal-01276033⟩