Počet záznamů: 1
Singular Schrodinger operators with prescribed spectral properties
- 1.0552559 - ÚJF 2023 RIV US eng J - Článek v odborném periodiku
Behrndt, J. - Khrabustovskyi, Andrii
Singular Schrodinger operators with prescribed spectral properties.
Journal of Functional Analysis. Roč. 282, č. 1 (2022), č. článku 109252. ISSN 0022-1236. E-ISSN 1096-0783
Grant CEP: GA ČR(CZ) GA21-07129S
Institucionální podpora: RVO:61389005
Klíčová slova: Schrodinger operator * delta-Interaction * Essential spectrum * Discrete spectrum
Obor OECD: Pure mathematics
Impakt faktor: 1.7, rok: 2022
Způsob publikování: Open access
https://doi.org/10.1016/j.jfa.2021.109252
This paper deals with singular Schrodinger operators of the form
-d(2)/dx(2) + Sigma(k is an element of Z) gamma(k)delta(. - z(k)), gamma(k) is an element of R,
in L-2 (l(-), l(+)), where delta(. - z(k)) is the Dirac delta-function supported at z(k) is an element of (l(-), l(+)) and (l(-), l(+)) is a bounded interval. It will be shown that the interaction strengths gamma(k) and the points z(k) can be chosen in such a way that the essential spectrum and a bounded part of the discrete spectrum of this self-adjoint operator coincide with prescribed sets on the real line.
Trvalý link: http://hdl.handle.net/11104/0327666
Název souboru Staženo Velikost Komentář Verze Přístup 0552559.pdf 0 795.1 KB Open Access - CC licence Vydavatelský postprint povolen
Počet záznamů: 1