Spectral stability of Schroedinger operators with subordinated complex potentials

Luca Fanelli; David Krejcirik; Luis Vega

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arXiv · 1506.01617

Spectral stability of Schroedinger operators with subordinated complex potentials

Luca Fanelli·David Krejcirik·Luis Vega

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Abstract

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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BibTeX RIS

Luca Fanelli, David Krejcirik, Luis Vega. 2015-06-04. Spectral stability of Schroedinger operators with subordinated complex potentials. https://arxiv.org/abs/1506.01617

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