Pseudo-modes for Schrödinger operators with complex potentials

DOI10.1016/j.jfa.2018.10.004zbMath1417.34207arXiv1705.01894OpenAlexW2962950246MaRDI QIDQ1731878

Petr Siegl, David Krejčiřík

Publication date: 14 March 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01894

zbMATH Keywords

Schrödinger operatorscomplex potentialWKBpseudo-spectrum

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items

Pseudomodes for non-self-adjoint Dirac operators ⋮ Generalized Riesz systems and orthonormal sequences in Krein spaces ⋮ Concentration of eigenfunctions of Schrödinger operators ⋮ Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials ⋮ Pseudomodes for Biharmonic Operators with Complex Potentials ⋮ Resolvent estimates for one-dimensional Schrödinger operators with complex potentials ⋮ Sharp spectral bounds for complex perturbations of the indefinite Laplacian ⋮ Spectral enclosures for non-self-adjoint discrete Schrödinger operators ⋮ Perturbations of Gibbs semigroups and the non-selfadjoint harmonic oscillator ⋮ Pseudospectra of the Damped Wave Equation with Unbounded Damping ⋮ Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets

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