On the finite-zone periodic PT-symmetric potentials

zbMATH Open1469.34112arXiv1710.05767MaRDI QIDQ5112501

Oktay A. Veliev

Publication date: 29 May 2020

Abstract: 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-dimensional Schrodinger operator L(q) is finite.

Full work available at URL: https://arxiv.org/abs/1710.05767

zbMATH Keywords

Schrödinger operatorfinite-zone potentialsPT-symmetric potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

On the real spectrum of differential operators with PT-symmetric periodic matrix coefficients ⋮ Zero width resonance (spectral singularity) in a complexPT-symmetric potential

This page was built for publication: On the finite-zone periodic PT-symmetric potentials