Infiniteness of the discrete spectrum of two-particle discrete Schrödinger operators
DOI10.1134/s1995080223070272MaRDI QIDQ6059302
Publication date: 2 November 2023
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
discrete spectrumdiscrete Schrödinger operatorinfinitely many eigenvaluesnon-degeneracy of bound states
Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Two-body problems (70F05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Atomic physics (81V45) Dispersion theory, dispersion relations arising in quantum theory (81U30) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The threshold effects for the two-particle Hamiltonians on lattices
- The threshold effects for a family of Friedrichs models under rank one perturbations
- On the bound state of Schrödinger operators in one dimension
- The bound state of weakly coupled Schrödinger operators in one and two dimensions
- Variational estimates for discrete Schrödinger operators with potentials of indefinite sign
- Scattering theory: some old and new problems
- 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
- Invariant subspaces of the Schrödinger operator with a finite support potential
- On the discrete spectra of Schrödinger-type operators on one dimensional lattices
- Threshold analysis of the three dimensional lattice Schrödinger operator with non-local potential
- Asymptotics of the discrete spectrum of the three-particle Schrödinger difference operator on a lattice
- Bounds on the discrete spectrum of lattice Schrödinger operators
- Threshold of discrete Schrödinger operators with delta potentials on n-dimensional lattice
- On the structure of the essential spectrum for the three-particle Schrödinger operators on lattices
This page was built for publication: Infiniteness of the discrete spectrum of two-particle discrete Schrödinger operators
