Completeness theorem for the system of eigenfunctions of the complex Schrödinger operator \(\mathcal{L}_c = - d^2 / d x^2 + c x^{2 / 3} \)

DOI10.1016/j.jfa.2020.108820zbMath1460.34104arXiv1903.10594OpenAlexW3104682950MaRDI QIDQ2225244

Sergey Tumanov

Publication date: 5 February 2021

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

Full work available at URL: https://arxiv.org/abs/1903.10594

zbMATH Keywords

spectral theorycompleteness of eigenfunctionsnon-selfadjoint Schrödinger operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (2)

Completeness theorem for the system of eigenfunctions of the complex Schrödinger operator \(\mathscr{L}_{c , \alpha} = - d^2 / d x^2 + c x^\alpha \) ⋮ Resolvent estimates for one-dimensional Schrödinger operators with complex potentials

Cites Work

• The completeness of eigenfunctions and associated functions of an ordinary differential operator with irregular-separated boundary conditions
• Spectral properties of the complex Airy operator on the half-line
• Perturbations of self-adjoint and normal operators with discrete spectrum
• Wild Spectral Behaviour of Anharmonic Oscillators
• On the limit behaviour of the spectrum of a model problem for the Orr-Sommerfeld equation with Poiseuille profile
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