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math-ph2025
Asymptotics for eigenvalues of one-dimensional Dirac operators in the weak coupling limit
Danko Aldunate, Juan Manuel González-Brantes, Hanne Van Den Bosch
In this paper, we derive new results on the asymptotic behavior of eigenvalues of perturbed one-dimensional massive Dirac operators in the weak coupling limit. Two classes of poten…
math-ph2024
Edge states for tight-binding operators with soft walls
Camilo Gómez Araya, David Gontier, Hanne Van Den Bosch
We study one- and two-dimensional periodic tight-binding models under the presence of a potential that grows to infinity in one direction, hence preventing the particles to escape…
math-ph2023
Spectrum of the linearized Vlasov--Poisson equation around steady states from galactic dynamics
Matias Moreno, Paola Rioseco, Hanne Van Den Bosch
We study the linearized Vlasov-Poisson equation in the gravitational case around steady states that are decreasing and continuous functions of the energy. We identify the absolutel…