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

DOI10.1142/S0219887817500657zbMath1372.34130arXiv1609.05786MaRDI QIDQ2988725

Oktay A. Veliev

Publication date: 19 May 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05786

zbMATH Keywords

Schrödinger operatorreal spectrumPT-symmetric periodic potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential, Spectra of operator pencils with small 𝒫𝒯-symmetric periodic perturbation, The spectrum of the Hamiltonian with a PT-symmetric periodic optical potential, Computing periodic and antiperiodic eigenvalues with a PT-symmetric optical potential, Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential

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