Asymptotics for eigenvalues of Schrödinger operator with small shift and Dirichlet condition
We consider a non-self-adjoint Schrödinger operator on the unit segment with the Dirichlet condition perturbed by an operator of small translation. The main result is the three-terms asymptotics for the eigenvalues with respect to their index and this asymptotics is uniform in the small translation. We also show that the system of eigenfunctions and associated functions of the considered operators forms a Bari basis in the space of functions square integrable on the considered unit segment.
Authors
- D. M. Polyakov (ORCID: https://orcid.org/0000-0003-0263-056X)
- D. I. Borisov (ORCID: https://orcid.org/0000-0001-9631-1791)
Institutions
- Ufa Institute of Chemistry (RU)
- Czech Academy of Sciences, Institute of Mathematics (CZ)
- Mathematical Institute of the Slovak Academy of Sciences (SK)
- Federal State Budgetary Institution of Science Federal Scientific Center "Vladikavkaz Scientific Center of the Russian Academy of Sciences" (RU)
Publication Details
- Journal
- Доклады Российской академии наук Математика информатика процессы управления
- Published
- 2024-10-03
- DOI
- https://doi.org/10.31857/s2686954324030089
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00