On perturbation of eigenvalues embedded at thresholds in a two channel model

DOI10.1007/BF02829644zbMath1199.81020MaRDI QIDQ1599744

Arne Jensen

Publication date: 6 June 2002

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

perturbation theorySchrödinger operatorthreshold eigenvaluetwo channel model

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (1)

Perturbations of eigenvalues embedded at threshold: Two-dimensional solvable models

Cites Work

• Unnamed Item
• A unified approach to eigenvalues and resonances of Schrödinger operators using Fredholm determinants
• Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians
• Spectral properties of Schrödinger operators and time-decay of the wave functions
• Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
• Coupling constant thresholds in nonrelativistic quantum mechanics. II: Two cluster thresholds in N-body systems
• Mapping properties of wave and scattering operators for two-body Schrödinger operators
• On the absorption of eigenvalues by continuous spectrum in regular perturbation problems
• Resonances for perturbations of a semiclassical periodic Schrödinger operator
• On coupling constant thresholds and related eigenvalue properties of Dirac operators.
• Perturbation of eigenvalues embedded at a threshold
• Coupling constant thresholds of perturbed periodic Hamiltonians
• Valeurs propres et résonances au voisinage d'un seuil

This page was built for publication: On perturbation of eigenvalues embedded at thresholds in a two channel model