This article is cited in 7 papers

On the finite-zone periodic PT-symmetric potentials

O. A. Veliev

Depart. of Math., Dogus University, Acıbadem, 34722, Kadiköy, Istanbul, Turkey

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.

Key words and phrases: Schrodinger operator, PT-symmetric potential, finite-zone potentials.

MSC: 34L05, 34L20

Language: English

DOI: 10.17323/1609-4514-2019-19-4-807-816

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