Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential

DOI10.1186/s13661-023-01787-2zbMath1527.34129OpenAlexW4387333720MaRDI QIDQ6084716

Cemile Nur

Publication date: 2 December 2023

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-023-01787-2

zbMATH Keywords

Dirichlet boundary conditionseigenvalue estimationsPT-symmetric optical potentials

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (1)

Computing periodic and antiperiodic eigenvalues with a PT-symmetric optical potential

Cites Work

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• A note on the \(\mathcal PT\) invariant periodic potential \(V(x) = 4\cos^2x + 4iV_0\sin2x\)
• Periodic differential operators
• Spectral problems of a class of non-self-adjoint one-dimensional Schrödinger operators
• \({\mathcal{PT}}\)-symmetric periodic optical potentials
• Spectral analysis of a class of second-order non-self-adjoint differential operators
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Complex periodic potentials with real band spectra.
• On a boundary value problem of N. I. Ionkin type
• Isospectral Mathieu-Hill operators
• On the Simplicity of the Eigenvalues of the Non-self-adjoint Mathieu-Hill Operators
• Non-Selfadjoint Operators in Quantum Physics
• On the spectral properties of the Schrödinger operator with a periodic PT-symmetric potential
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• The spectrum of the Hamiltonian with a PT-symmetric periodic optical potential
• Non-self-adjoint Schrödinger Operator with a Periodic Potential
• Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential
• Asymptotic formulas for Dirichlet boundary value problems
• Instability intervals of Hill's equation

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