Danko Aldunate Bascuñán

On the spectral stability of the nonlinear Dirac equation with Soler type nonlinearity

We study the spectral stability of the nonlinear Dirac operator in di-mension 1 + 1, restricting our attention to nonlinearities of the formf(⟨ψ,βψ⟩C2 )β. We obtain bounds on eigenvalues for the linearized operatoraround standing wave solutions of the form e−iωtϕ0. For the case of power nonlinearities f(s) = s|s|p−1, p...