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- W4280589263 abstract "The one-dimensional Dirac operator with a singular interaction term which is formally given by $Aotimes|delta_0ranglelangledelta_0|$, where $A$ is an arbitrary $2times 2$ matrix and $delta_0$ stands for the Dirac distribution, is introduced as a closed not necessarily self-adjoint operator. We study its spectral properties, find its non-relativistic limit and also address the question of regular approximations. In particular, we show that, contrary to the case of local approximations, for non-local approximating potentials, coupling constants are not renormalized in the limit." @default.
- W4280589263 created "2022-05-22" @default.
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- W4280589263 date "2022-05-10" @default.
- W4280589263 modified "2023-09-23" @default.
- W4280589263 title "Non-self-adjoint relativistic point interaction in one dimension" @default.
- W4280589263 doi "https://doi.org/10.48550/arxiv.2205.05005" @default.
- W4280589263 hasPublicationYear "2022" @default.
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