• Corpus ID: 216036036

Fractional Schr\"{o}dinger Equations with potentials of higher-order singularities

@article{Altybay2020FractionalSE,
  title={Fractional Schr\"\{o\}dinger Equations with potentials of higher-order singularities},
  author={Arshyn Altybay and Michael Ruzhansky and Mohammed Elamine Sebih and Niyaz Tokmagambetov},
  journal={arXiv: Analysis of PDEs},
  year={2020}
}
In this paper, we consider the space-fractional Schrodinger equation with a singular potential. We show that it has a so-called very weak solutions. The uniqueness and consistency results are proved in an appropriate sense. Numerical simulations are done, and a particle accumulating effect is observed. From the mathematical point of view, a "splitting of the strong singularity" phenomena is observed. 

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