Asymptotics of eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction

DOI10.1088/1751-8113/44/13/135304zbMath1211.81058arXiv1010.2348OpenAlexW1977660170MaRDI QIDQ2995079

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Publication date: 20 April 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2348

Mathematics Subject Classification ID

Three-body problems (70F07) Applications of operator theory in the physical sciences (47N50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of solids (82D20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (16)

Expansion of eigenvalues of the perturbed discrete bilaplacian ⋮ Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator ⋮ On the spectrum of Schrödinger-type operators on two dimensional lattices ⋮ On the discrete spectra of Schrödinger-type operators on one dimensional lattices ⋮ The spectrum of a non-local discrete Schrödinger operator with a delta potential on the one-dimentional lattice ⋮ On the number and locations of eigenvalues of the discrete Schrödinger operator on a lattice ⋮ Puiseux series expansion for eigenvalue of the generalized Friedrichs model with the perturbation of rank one ⋮ The existence and asymptotics of eigenvalues of Schrödinger operator on two dimensional lattices ⋮ Threshold effects for the generalized Friedrichs model with the perturbation of rank one ⋮ Threshold phenomenon for a family of the generalized Friedrichs models with the perturbation of rank one ⋮ Existence of bound states of N-body problem in an optical lattice ⋮ Bound states of Schrödinger-type operators on one and two dimensional lattices ⋮ On spectrum of the discrete bilaplacian with zero-range perturbation ⋮ Convergent expansions of eigenvalues of the generalized Friedrichs model with a rank-one perturbation ⋮ Threshold analysis of the one-rank perturbation non-local discrete Laplacian ⋮ Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case

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