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math.SP2025
Estimates for Dirichlet Eigenvalues of the Schrodinger operator with the Kronig-Penney Model
Cemile Nur, Oktay Veliev
In this paper, we first improve some asymptotic formulas previously obtained and provide sharp asymptotic formulas explicitly expressed by the potential. For the potentials of boun…
math.SP2023★ 1 cited
On the differential operators of odd order with PT-symmetric periodic matrix coefficients
O. A. Veliev
In this paper we investigate the spectrum of the differential operators generated by the ordinary differential expression of odd order with PT-symmertic periodic matrix coefficient…
math.SP2017
On the finite-zone periodic PT-symmetric potentials
O. A. Veliev
In this paper we find explicit conditions on the periodic PT-symmetric complex-valued potential q for which the number of gaps in the real part of the spectrum of the one-dimension…