The m-function for Hamiltonians with Wigner–von Neumann potentials

DOI10.1063/1.530600zbMath0799.34080OpenAlexW1974893588MaRDI QIDQ4298612

Horst Behncke

Publication date: 9 August 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530600

zbMATH Keywords

singularitiesresonancesbound statesDirac and Schrödinger operatorsHamiltonians with strong Wigner-von Neumann potentials

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

Zeroes of the spectral density of the periodic Schrödinger operator with Wigner–von Neumann potential ⋮ Zeroes of the spectral density of the Schrödinger operator with the slowly decaying Wigner-von Neumann potential ⋮ Zeroes of the spectral density of discrete Schrödinger operator with Wigner-von Neumann potential ⋮ Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations ⋮ Resonances and viscosity limit for the Wigner-von Neumann-type Hamiltonian ⋮ Absolute continuity and spectral concentration for slowly decaying potentials ⋮ Embedded eigenvalues and Neumann-Wigner potentials for relativistic Schrödinger operators

Cites Work

• Absolute continuity of Hamiltonians with von Neumann Wigner potentials. II
• On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
• Embedded Half-Bound States for Potentials of Wigner-Von Neumann Type
• Value distribution and spectral analysis of differential operators