On the spectral properties of the Schrodinger operator with a periodic PT-symmetric potential
O. A. Veliev

TL;DR
This paper studies the spectral characteristics of a one-dimensional Schrödinger operator with a periodic PT-symmetric complex potential, exploring how symmetry influences the spectrum.
Contribution
It provides new insights into the spectral properties of PT-symmetric potentials in quantum operators, focusing on periodic cases.
Findings
Analysis of spectral symmetry properties
Conditions for real spectra in PT-symmetric operators
Impact of periodicity on spectral stability
Abstract
In this paper we investigate the spectrum and spectrality of the one-dimensional Schrodinger operator with a periodic PT-symmetric complex-valued potential.
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