Spectral stability of Schrodinger operators with subordinated complex potentials

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F18%3A00490632" target="_blank" >RIV/61389005:_____/18:00490632 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/18:00304659
Result on the web
<a href="http://dx.doi.org/10.4171/JST/208" target="_blank" >http://dx.doi.org/10.4171/JST/208</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/JST/208" target="_blank" >10.4171/JST/208</a>

Result language
angličtina
Original language name
Spectral stability of Schrodinger operators with subordinated complex potentials
Original language description
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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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