Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential
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Publication:5136172
DOI10.1063/5.0009273zbMath1452.81108arXiv2002.02500OpenAlexW3103027300MaRDI QIDQ5136172
Publication date: 25 November 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.02500
General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10)
Related Items (2)
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential ⋮ 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 \(V(x) = 4\cos^2x + 4iV_0\sin2x\)
- Spectral problems of a class of non-self-adjoint one-dimensional Schrödinger operators
- \({\mathcal{PT}}\)-symmetric periodic optical potentials
- A criterion for Hill operators to be spectral operators of scalar type
- Spectral analysis of a class of second-order non-self-adjoint differential operators
- Spectral expansion series with parenthesis for the nonself-adjoint periodic differential operators
- On a boundary value problem of N. I. Ionkin type
- On the spectrality and spectral expansion of the non-self-adjoint Mathieu-Hill operator in \(L_2(-\infty, \infty)\)
- Isospectral Mathieu-Hill operators
- Essential spectral singularities and the spectral expansion for the Hill operator
- Asymptotic analysis of non-self-adjoint Hill operators
- Operators commuting with translation by one. II: Differential operators with periodic coefficients in \(L_ p(-\infty,\infty)\)
- On the spectral singularities and spectrality of the Hill operator
- On the Simplicity of the Eigenvalues of the Non-self-adjoint Mathieu-Hill Operators
- On the spectral properties of the Schrödinger operator with a periodic PT-symmetric potential
- The spectrum of the Hamiltonian with a PT-symmetric periodic optical potential
- On the shape of spectra for non-self-adjoint periodic Schrödinger operators
- The spectral expansion for a nonself-adjoint Hill operator with a locally integrable potential
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