Embedded Eigenvalues and Neumann-Wigner Potentials for Relativistic Schrodinger Operators

@article{Lrinczi2016EmbeddedEA,
  title={Embedded Eigenvalues and Neumann-Wigner Potentials for Relativistic Schrodinger Operators},
  author={J{\'o}zsef Lőrinczi and Itaru Sasaki},
  journal={arXiv: Mathematical Physics},
  year={2016}
}
The existence of potentials for relativistic Schrodinger operators allowing eigenvalues embedded in the essential spectrum is a long-standing open problem. We construct Neumann-Wigner type potentials for the massive relativistic Schrodinger operator in one and three dimensions for which an embedded eigenvalue exists. We show that in the non-relativistic limit these potentials converge to the classical Neumann-Wigner and Moses-Tuan potentials, respectively. For the massless operator in one… 
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