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Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential - MaRDI portal

Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential (Q5136172)

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scientific article; zbMATH DE number 7277895

Language	Label	Description	Also known as
English	Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential	scientific article; zbMATH DE number 7277895

Statements

scholarly article

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Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential (English)

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Journal of Mathematical Physics

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publication date

25 November 2020

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full work available at URL

https://arxiv.org/abs/2002.02500

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zbMATH Keywords

Bloch eigenvalues

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Oktay A. Veliev

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MaRDI profile type

MaRDI publication profile

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Operators commuting with translation by one. II: Differential operators with periodic coefficients in \(L_ p(-\infty,\infty)\)

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On the spectral singularities and spectrality of the Hill operator

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\({\mathcal{PT}}\)-symmetric periodic optical potentials

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A note on the \(\mathcal PT\) invariant periodic potential \(V(x) = 4\cos^2x + 4iV_0\sin2x\)

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Isospectral Mathieu-Hill operators

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Spectral analysis of a class of second-order non-self-adjoint differential operators

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On a boundary value problem of N. I. Ionkin type

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Spectral problems of a class of non-self-adjoint one-dimensional Schrödinger operators

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The spectrum of the Hamiltonian with a PT-symmetric periodic optical potential

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On the shape of spectra for non-self-adjoint periodic Schrödinger operators

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On the Simplicity of the Eigenvalues of the Non-self-adjoint Mathieu-Hill Operators

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

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Essential spectral singularities and the spectral expansion for the Hill operator

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Spectral expansion series with parenthesis for the nonself-adjoint periodic differential operators

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On the spectrality and spectral expansion of the non-self-adjoint Mathieu-Hill operator in \(L_2(-\infty, \infty)\)

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The spectral expansion for a nonself-adjoint Hill operator with a locally integrable potential

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A criterion for Hill operators to be spectral operators of scalar type

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Asymptotic analysis of non-self-adjoint Hill operators

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Identifiers

zbMATH Open document ID

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10.1063/5.0009273

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5136172

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