Theoretical analysis establishes conditions for spectral stability under non-self-adjoint perturbations on the half-line, highlighting a bridge to the Robin Laplacian.
We consider Dirac operators on the half-line, subject to generalised infinite-mass boundary conditions. We derive sufficient conditions which guarantee the stability of the spectrum against possibly non-self-adjoint potential perturbations and study the optimality of the obtained results. Finally, we establish a non-relativistic limit which makes a relationship of the present model to the Robin Laplacian on the half-line.
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Kramar et al. (2024) studied this question.
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