Threshold phenomenon for a family of the generalized Friedrichs models with the perturbation of rank one

DOI10.13108/2019-11-4-140zbMath1463.35393OpenAlexW3018395904MaRDI QIDQ5137858

Darus, Maslina, Saidakhmat Lakaev, Said T. Dustov

Publication date: 2 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa498

zbMATH Keywords

eigenvalueregular pointgeneralized Friedrichs modelrepulsive potentialcoupling constant threshold

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10)

Related Items (1)

Puiseux series expansion for eigenvalue of the generalized Friedrichs model with the perturbation of rank one

Cites Work

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• Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
• Embedded eigenvalues and resonances of a generalized Friedrichs model
• The spectrum of two-particle bound states for the transfer matrices of Gibbs fields (an isolated bound state)
• Asymptotics of eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction
• Puiseux series expansion for an eigenvalue of the generalized Friedrichs model with perturbation of rank 1
• On the perturbation of continuous spectra

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