Schrödinger operators with \(n\) positive eigenvalues: an explicit construction involving complex-valued potentials

DOI10.3792/pjaa.92.7zbMath1338.35308arXiv1502.07107OpenAlexW2963395006MaRDI QIDQ288539

Tomio Umeda, Jun Uchiyama, Serge Richard

Publication date: 27 May 2016

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07107

zbMATH Keywords

Schrödinger operatorspositive eigenvaluesvon Neumann-Wigner

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (3)

Resonances and viscosity limit for the Wigner-von Neumann-type Hamiltonian ⋮ Absence of embedded eigenvalues for non-local Schrödinger operators ⋮ Embedded eigenvalues and Neumann-Wigner potentials for relativistic Schrödinger operators

Cites Work

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• Persistence of embedded eigenvalues
• Perturbations of the Wigner-von Neumann potential leaving the embedded eigenvalue fixed
• On the von Neumann and Wigner potentials
• Schrödinger operators with slowly decaying Wigner-von Neumann type potentials
• On the determination of a differential equation from its spectral function
• Potentials with zero scattering phase
• Spectral and scattering theory for the adiabatic oscillator and related potentials
• Some Schrödinger operators with dense point spectrum

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