The Efimov effect of three-body Schrödinger operators

From MaRDI portal
Publication:1174988

DOI10.1016/0022-1236(91)90038-7zbMath0761.35078OpenAlexW1968469395MaRDI QIDQ1174988

Hideo Tamura

Publication date: 25 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90038-7




Related Items (46)

On Efimov's effect in a system of three identical quantum particlesOn finiteness of discrete spectrum of three-particle Schrödinger operator on a latticeThe efimov effect of three-body schrödinger operators: Asymptotics for the number of negative eigenvaluesOn the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymptoticsExpansion of eigenvalues of the perturbed discrete bilaplacianSpectrum of the three-particle Schrödinger operator on a one-dimensional latticeOn the eigenvalues of a 2ˣ2 block operator matrixThe threshold effects for the two-particle Hamiltonians on latticesThe essential and discrete spectrum of a model operator associated to a system of three identical quantum particlesOn the localization of binding for Schrödinger operators and its extensions to elliptic operatorsAbsence of the Efimov effect in a homogeneous magnetic fieldA variational proof of the Thomas effectStability of a fermionic \({N+ 1}\) particle system with point interactionsDerivations with values in quasi-normed bimodules of locally measurable operatorsAsymtotic of the discrete spectrum of the three-particle Schrödinger operator on a one-dimensional latticeEfimov effect for a three-particle system with two identical fermionsRigorous derivation of the Efimov effect in a simple modelThe number and location of eigenvalues for the two-particle Schrödinger operators on latticesQuantum systems at the brink: existence of bound states, critical potentials, and dimensionalityTwo-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactionsComment on the article ``On the existence of the N-body Efimov effect by X.P. WangSpectrum of the energy operator of a two-magnon system in the three-dimensional isotropic Heisenberg ferromagnet model with impurityOn the finiteness of the discrete spectrum of four-particle lattice Schrödinger operatorsAsymptotic behavior of eigenvalues of the two-particle discrete Schrödinger operatorAnalysis of the discrete Spectrum of the family SPECTRUM of \(3\times 3\) operator matricesWhy there is no Efimov effect for four bosons and related results on the finiteness of the discrete spectrumSpectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling and bounded dispersion relationTosio Kato's work on non-relativistic quantum mechanics. IFiniteness of the discrete spectrum of the Schrödinger operator of three particles on a latticeTriviality of a model of particles with point interactions in the thermodynamic limitThe Efimov effect for a model ``three-particle discrete Schrödinger operatorLarge time behavior of solutions to Schrödinger equation with complex-valued potentialExistence of bound states of N-body problem in an optical latticeThe infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a latticeUnnamed ItemSpectral attributes of self-adjoint Fredholm operators in Hilbert space: a rudimentary insightOn the number of eigenvalues of a model operator associated to a system of three-particles on latticesOn the discrete spectrum of a model operator in fermionic Fock spacePotentials for non-local Schrödinger operators with zero eigenvaluesTosio Kato’s work on non-relativistic quantum mechanics, Part 2Finiteness of the discrete spectrum of the three-particle Schrödinger equation on a latticeSchrödinger operators with few bound statesThe Efimov effect. Discrete spectrum asymptoticsSome geometric spectral properties of N-body Schrödinger operatorsExistence of two-cluster threshold resonances and the N-body Efimov effectThe absence of the Efimov effect in systems of one- and two-dimensional particles



Cites Work


This page was built for publication: The Efimov effect of three-body Schrödinger operators