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Spectral stability of Schrodinger operators with subordinated complex potentials
- 1.0490632 - ÚJF 2019 RIV CH eng J - Journal Article
Fanelli, L. - Krejčiřík, David - Vega, L.
Spectral stability of Schrodinger operators with subordinated complex potentials.
Journal of Spectral Theory. Roč. 8, č. 2 (2018), s. 575-604. ISSN 1664-039X. E-ISSN 1664-0403
R&D Projects: GA ČR(CZ) GA14-06818S
Institutional support: RVO:61389005
Keywords : Non-self-adjoint Schrödinger operator * subordinate complex potential * absence of eigenvalues * spectral stability * Birman-Schwinger principle * technique of multipliers
OECD category: Applied mathematics
Impact factor: 1.205, year: 2018
We prove that the spectrum of Schrodinger 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 Schrodinger operators in all dimensions under various alternative hypotheses, still allowing complex-valued potentials with critical singularities.
Permanent Link: http://hdl.handle.net/11104/0284796
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