Počet záznamů: 1
Spectral stability of Schrodinger operators with subordinated complex potentials
- 1.0490632 - ÚJF 2019 RIV CH eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA14-06818S
Institucionální podpora: RVO:61389005
Klíčová slova: Non-self-adjoint Schrödinger operator * subordinate complex potential * absence of eigenvalues * spectral stability * Birman-Schwinger principle * technique of multipliers
Obor OECD: Applied mathematics
Impakt faktor: 1.205, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0284796
Počet záznamů: 1