Puiseux series expansion for eigenvalue of the generalized Friedrichs model with the perturbation of rank one
DOI10.1134/S1995080223040157zbMath1530.81076MaRDI QIDQ6133589
Said T. Dustov, Sh. Kh. Kurbanov
Publication date: 18 August 2023
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Hamiltonianthreshold resonancethreshold eigenvaluegeneralized Friedrichs modelcoupling constant thresholdthreshold dispersion relation
Estimates of eigenvalues in context of PDEs (35P15) Hamilton's equations (70H05) Spectrum, resolvent (47A10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Resonance in context of PDEs (35B34) Dispersion theory, dispersion relations arising in quantum theory (81U30)
Cites Work
- Unnamed Item
- Threshold effects for the generalized Friedrichs model with the perturbation of rank one
- The threshold effects for the two-particle Hamiltonians on lattices
- The threshold effects for a family of Friedrichs models under rank one perturbations
- The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice
- Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
- On the convexity of the sum of the first eigenvalues of operators depending on a real parameter
- Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics
- Spectral and threshold analysis of a small rank perturbation of the discrete Laplacian
- On the spectrum of the two-particle Schrödinger operator with point interaction
- Bound states of Schrödinger-type operators on one and two dimensional lattices
- On spectrum of the discrete bilaplacian with zero-range perturbation
- The exact number of eigenvalues of the discrete Schrödinger operators in one-dimensional case
- Convergent expansions of eigenvalues of the generalized Friedrichs model with a rank-one perturbation
- On the number of eigenvalues of the lattice model operator in one-dimensional case
- Invariant subspaces of the Schrödinger operator with a finite support potential
- Threshold effects in a two-fermion system on an optical lattice
- Threshold analysis of the three dimensional lattice Schrödinger operator with non-local potential
- The detectable subspace for the Friedrichs model
- Threshold phenomena in the spectrum of the two-particle Schrödinger operator on a lattice
- Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator
- Asymptotics of eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction
- The Friedrichs model and its use in resonance phenomena
- Bounds on the discrete spectrum of lattice Schrödinger operators
- Puiseux series expansion for an eigenvalue of the generalized Friedrichs model with perturbation of rank 1
- Threshold of discrete Schrödinger operators with delta potentials on n-dimensional lattice
- Threshold phenomenon for a family of the generalized Friedrichs models with the perturbation of rank one
- On the perturbation of continuous spectra
- Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case
This page was built for publication: Puiseux series expansion for eigenvalue of the generalized Friedrichs model with the perturbation of rank one