Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials

Vincent Duchêne (1, 2) , Nicolas Raymond (2)

1 CNRS - Centre National de la Recherche Scientifique
2 IRMAR - Institut de Recherche Mathématique de Rennes

Mots clés: rapid oscillations; Schrödinger operator; spectral asymptotics; normal form; WKB expansion

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]

Vincent Duchêne, Nicolas Raymond. Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials. Documenta Mathematica, 2018, 23, pp.599-636. ⟨10.25537/dm.2018v23.599-636⟩. ⟨hal-01361768v2⟩