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math-ph2026
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-ph2025
Local Boundary Conditions for Dirac-type operators
Nadine GroÃe, Alejandro Uribe, Hanne van den Bosch
We consider Dirac-type operators on manifolds with boundary, and set out to determine all local smooth boundary conditions that give rise to (strongly) regular self-adjoint operato…
math-ph2024
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…