On the spectral properties of the Schrödinger operator with a periodic PT-symmetric potential-Reference-Cited by-同舟云学术

On the spectral properties of the Schrödinger operator with a periodic PT-symmetric potential

Published:2017-04-13 Issue:05 Volume:14 Page:1750065
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Veliev Oktay¹

Affiliation:

1. Department of Mathematics, Dogus University, Acıbadem 34722, Kadiköy, Istanbul, Turkey

Abstract

In this paper, we investigate the spectrum and spectrality of the one-dimensional Schrödinger operator with a periodic PT-symmetric complex-valued potential.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887817500657

Reference26 articles.

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2. Non-Selfadjoint Operators in Quantum Physics

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4. Reality and non-reality of the spectrum of % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBqj3BWbIqubWexLMBb50ujbqegm0B % 1jxALjharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqr % Ffpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0F % irpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaa % GcbaWefv3ySLgznfgDOfdarCqr1ngBPrginfgDObYtUvgaiuaacqWF % pepucqWFtepvaaa!46A4! $$ \mathcal{P}\mathcal{T} $$ -symmetric operators: Operator-theoretic criteria

5. -symmetry in one-dimensional quantum periodic potentials

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