Spectral instability for even non-selfadjoint anharmonic oscillators

DOI10.4171/JST/72zbMath1308.34112arXiv1301.5327MaRDI QIDQ402286

Raphaël Henry

Publication date: 27 August 2014

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5327

zbMATH Keywords

asymptotic expansionscomplex WKB methodcompleteness of eigenfunctionsnon self-adjoint operators

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (16)

Pseudomodes for non-self-adjoint Dirac operators ⋮ Spectral properties of the complex Airy operator on the half-line ⋮ On the Spectrum of Non-Selfadjoint Schrödinger Operators with Compact Resolvent ⋮ Pseudospectra in non-Hermitian quantum mechanics ⋮ Root system of singular perturbations of the harmonic oscillator type operators ⋮ The norm of the non-self-adjoint harmonic oscillator semigroup ⋮ Non-Hermitian propagation of Hagedorn wavepackets ⋮ Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials ⋮ Pseudomodes for Biharmonic Operators with Complex Potentials ⋮ Spectral projections of the complex cubic oscillator ⋮ The shifted harmonic oscillator and the hypoelliptic Laplacian on the circle ⋮ Differential operators admitting various rates of spectral projection growth ⋮ The Complex Airy Operator on the Line with a Semipermeable Barrier ⋮ On the stability of laminar flows between plates ⋮ Resolvent of the generator of the \(C_0\)-group with non-basis family of eigenvectors and sharpness of the XYZ theorem ⋮ Local form-subordination condition and Riesz basisness of root systems

Cites Work

• Asymptotique des niveaux d'energie pour des Hamiltoniens à un degré de liberte
• Sur un problème aux valeurs propres non linéaire
• Spectral instability for some Schrödinger operators
• Spectral instability of some non-selfadjoint anharmonic oscillators
• On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current
• The Stability of the Normal State of Superconductors in the Presence of Electric Currents
• Proprietes spectrales d'operators pseduo-differentiels
• Wild Spectral Behaviour of Anharmonic Oscillators
• SPECTRAL ASYMPTOTICS OF THE NON-SELF-ADJOINT HARMONIC OSCILLATOR
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral instability for even non-selfadjoint anharmonic oscillators