The essential spectrum of a three particle Schrödinger operator on lattices
DOI10.1134/s1995080223030198zbMath1527.81057OpenAlexW4382054725MaRDI QIDQ6114631
A. T. Boltaev, Saidachmat Lakaev
Publication date: 12 July 2023
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080223030198
latticeeigenvalueHamiltonianSchrödinger operatoressential spectrumbosonchannel operatorthree-particle
Three-body problems (70F07) Estimates of eigenvalues in context of PDEs (35P15) Hamilton's equations (70H05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Discrete version of topics in analysis (39A12) Bosonic systems in quantum theory (81V73) Quantum channels, fidelity (81P47)
Cites Work
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- Existence and analyticity of bound states of a two-particle Schrödinger operator on a lattice
- On Efimov's effect in a system of three identical quantum particles
- The spectrum of the three-particle difference Schrödinger operator on a lattice
- Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics
- Spectral properties of the three-particle difference Schrödinger operator
- 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
- On the number of eigenvalues of the lattice model operator in one-dimensional case
- On the spectrum of Schrödinger-type operators on two dimensional lattices
- 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
- Threshold phenomena in the spectrum of the two-particle Schrödinger operator on a lattice
- Zur Spektraltheorie der Schrödinger-Operatoren
- Bounds on the discrete spectrum of lattice Schrödinger operators
- Existence of bound states of N-body problem in an optical lattice
- On the structure of the essential spectrum for the three-particle Schrödinger operators on lattices
- Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case
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