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

zbMath1344.34092arXiv1301.1011MaRDI QIDQ2813837

Oktay A. Veliev

Publication date: 27 June 2016

Full work available at URL: https://arxiv.org/abs/1301.1011

zbMATH Keywords

boundary value problemssimple eigenvaluesMathieu-Hill operator

Mathematics Subject Classification ID

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

Related Items (7)

Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential ⋮ The bounds of eigenvalue for complex singular boundary value problems ⋮ The spectrum of the Hamiltonian with a PT-symmetric periodic optical potential ⋮ Computing periodic and antiperiodic eigenvalues with a PT-symmetric optical potential ⋮ On bounds of eigenvalues of complex Sturm-Liouville boundary value problems ⋮ Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential ⋮ On the spectrality and spectral expansion of the non-self-adjoint Mathieu-Hill operator in \(L_2(-\infty, \infty)\)

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