Completeness theorem for the system of eigenfunctions of the complex Schrödinger operator \(\mathscr{L}_{c , \alpha} = - d^2 / d x^2 + c x^\alpha \)
From MaRDI portal
Publication:2669938
DOI10.1016/j.jde.2022.02.010zbMath1495.34117arXiv2101.01680OpenAlexW4214813974MaRDI QIDQ2669938
Publication date: 9 March 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.01680
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Nonselfadjoint operators (47B28)
Related Items
On analytic perturbations of a non-self-adjoint anharmonic oscillator, One condition for discreteness of the spectrum and compactness of the resolvent of a nonsectorial Sturm-Liouville operator on a semiaxis, Spectral properties of the nonsectorial Sturm-Liouville operator on the semiaxis
Cites Work
- Differential operators admitting various rates of spectral projection growth
- Completeness theorem for the system of eigenfunctions of the complex Schrödinger operator \(\mathcal{L}_c = - d^2 / d x^2 + c x^{2 / 3} \)
- Spectral properties of the complex Airy operator on the half-line
- Pseudospectra in non-Hermitian quantum mechanics
- 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
- Wild Spectral Behaviour of Anharmonic Oscillators
- Unnamed Item
- Unnamed Item
- Unnamed Item