Real eigenvalues of a non-self-adjoint perturbation of the self-adjoint Zakharov-Shabat operator
DOI10.1063/1.4999668zbMath1373.81200arXiv1704.03145OpenAlexW3099140326MaRDI QIDQ4592887
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Publication date: 9 November 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.03145
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
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Cites Work
- Precise estimates for tunneling and eigenvalues near a potential barrier
- Quantization conditions of eigenvalues for semiclassical Zakharov-Shabat systems on the circle
- PT-symmetry and potentiel well. The simple well case
- PT-symmetry and Schrödinger operators. The double well case
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Semiclassical resonances for a two-level Schrödinger operator with a conical intersection
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