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The threshold effects for a family of Friedrichs models under rank one perturbations

  • Published:2007-06 Issue:2 Volume:330 Page:1152-1168
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Albeverio Sergio,Lakaev Saidakhmat N.,Muminov Zahriddin I.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference33 articles.

1. The low energy expansion in non-relativistic scattering theory;Albeverio;Ann. Inst. H. Poincaré Sect. A (N.S.),1982

2. Solvable Models in Quantum Mechanics;Albeverio,1988

3. The threshold effects for the two-particle Hamiltonians on lattices;Albeverio;Comm. Math. Phys.,2006

4. Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics;Albeverio;Ann. Henri Poincaré,2004

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1. Conditions for the Existence of Eigenvalues of a Three-Particle Lattice Model Hamiltonian;Russian Mathematics;2023-07

2. Infiniteness of the Discrete Spectrum of Two-Particle Discrete Schrödinger Operators;Lobachevskii Journal of Mathematics;2023-07

3. Existence of the eigenvalues of a tensor sum of the Friedrichs models with rank 2 perturbation;Nanosystems: Physics, Chemistry, Mathematics;2023-04-29

4. Puiseux Series Expansion for Eigenvalue of the Generalized Friedrichs Model with the Perturbation of Rank One;Lobachevskii Journal of Mathematics;2023-04

5. On the numerical range of a friedrichs model with rank two perturbation: Threshold analysis technique;PHYSICAL MESOMECHANICS OF CONDENSED MATTER: Physical Principles of Multiscale Structure Formation and the Mechanisms of Nonlinear Behavior: MESO2022;2023
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