Absence of embedded eigenvalues for translationally invariant magnetic Laplacians

Nicolas Raymond (1) , Julien Royer (2)

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques
2 IMT - Institut de Mathématiques de Toulouse UMR5219

Translationnally invariant bidimensional magnetic Laplacians are considered. Using an improved version of the harmonic approximation, we establish the absence of point spectrum under various assumptions on the behavior of the magnetic field.

Domaines: Physique mathématique [math-ph]; Théorie spectrale [math.SP]; Equations aux dérivées partielles [math.AP]

Nicolas Raymond, Julien Royer. Absence of embedded eigenvalues for translationally invariant magnetic Laplacians. 2019. ⟨hal-02058665v2⟩