3 papers
math-ph2025
On gap properties for the linearized 1D Dirac--Soler model
Danko Aldunate, Julien Ricaud, Edgardo Stockmeyer
We study spectral properties of the Dirac operator obtained by linearizing the one-dimensional Soler model around standing waves with power nonlinearity $f(s)=s|s|^{p-1}, \,…
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-ph2021
Results on the spectral stability of standing wave solutions of the Soler model in 1-D
Danko Aldunate, Julien Ricaud, Edgardo Stockmeyer +1
We study the spectral stability of the nonlinear Dirac operator in dimension , restricting our attention to nonlinearities of the form …