WKB eigenmode construction for analytic Toeplitz operators

Alix Deleporte (1)

1 IRMA - Institut de Recherche Mathématique Avancée

We provide almost eigenfunctions for Toeplitz operators with real-analytic symbols, at the bottom of non-degenerate wells. These almost eigenfunctions follow the WKB ansatz; the error is O(exp(−cN)), where c > 0 and N → +∞ is the inverse semiclassical parameter.

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

Alix Deleporte. WKB eigenmode construction for analytic Toeplitz operators. 2019. ⟨hal-01985540v1⟩