Non-self-adjoint Schrödinger Operator with a Periodic Potential

DOI10.1007/978-3-030-72683-6zbMath1487.47001OpenAlexW3176828004MaRDI QIDQ4990017

Oktay A. Veliev

Publication date: 27 May 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-72683-6

zbMATH Keywords

spectral expansionnon-Hermitian quantum mechanicsspectral singularitiesnon-self-adjoint Schrödinger operatorMathieu-Schrödinger operatorparity-time -symmetric periodic optical potential

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Nonselfadjoint operators (47B28)

Related Items (4)

Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential ⋮ Spectral expansion for nonself-adjoint differential operators with periodic matrix coefficients ⋮ Computing periodic and antiperiodic eigenvalues with a PT-symmetric optical potential ⋮ On the Schrödinger operator with a periodic PT-symmetric matrix potential

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