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math.SP2026
Resolvent estimates for one-dimensional Dirac operators with imaginary potentials
Antonio Arnal, Tho Nguyen Duc, Petr Siegl
We investigate massive one-dimensional Dirac operators perturbed by diagonal matrix potentials of the form where the function is real-valued and unbounded at infinity. Fo…
math.SP2022
Pseudomodes for biharmonic operators with complex potentials
Tho Nguyen Duc
This article is devoted to the construction of pseudomodes of one-dimensional biharmonic operators with the complex-valued potentials via the WKB method. As a by-product, the shape…
math.SP2020
Magnetic WKB constructions on surfaces
Yannick Guedes Bonthonneau, Tho Nguyen Duc, Nicolas Raymond +1
This article is devoted to the description of the eigenvalues and eigenfunctions of the magnetic Laplacian in the semiclassical limit via the complex WKB method. Under the assumpti…