Spectral stability of Schroedinger operators with subordinated complex potentials

@article{Fanelli2015SpectralSO,
  title={Spectral stability of Schroedinger operators with subordinated complex potentials},
  author={L. Fanelli and D. Krej{\vc}iř{\'i}k and L. Vega},
  journal={arXiv: Spectral Theory},
  year={2015}
}
  • L. Fanelli, D. Krejčiřík, L. Vega
  • Published 2015
  • Mathematics, Physics
  • arXiv: Spectral Theory
  • We prove that the spectrum of Schroedinger operators in three dimensions is purely continuous and coincides with the non-negative semiaxis for all potentials satisfying a form-subordinate smallness condition. By developing the method of multipliers, we also establish the absence of point spectrum for Schroedinger operators in all dimensions under various alternative hypotheses, still allowing complex-valued potentials with critical singularities. 
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