The Efimov effect. Discrete spectrum asymptotics
From MaRDI portal
Publication:1308727
DOI10.1007/BF02096734zbMath0785.35070MaRDI QIDQ1308727
Publication date: 27 April 1994
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
discrete spectrumnumber of bound statesthree-particle Schrödinger operatorEfimov's effectshort- range pair potentials
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (58)
The efimov effect of three-body schrödinger operators: Asymptotics for the number of negative eigenvalues ⋮ On the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymptotics ⋮ Bound states of a two-boson system on a two-dimensional lattice ⋮ On the eigenvalues of a 2ˣ2 block operator matrix ⋮ On the spectrum of Schrödinger-type operators on two dimensional lattices ⋮ Bound states of the Schrödinger operator of a system of three bosons on a lattice ⋮ The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles ⋮ The threshold effects for a family of Friedrichs models under rank one perturbations ⋮ Existence and analyticity of bound states of a two-particle Schrödinger operator on a lattice ⋮ Asymtotic of the discrete spectrum of the three-particle Schrödinger operator on a one-dimensional lattice ⋮ Efimov effect for a three-particle system with two identical fermions ⋮ Rigorous derivation of the Efimov effect in a simple model ⋮ The number and location of eigenvalues for the two-particle Schrödinger operators on lattices ⋮ Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality ⋮ Invariant subspaces and eigenvalues of the three-particle discrete Schrödinger operators ⋮ Threshold effects in a two-fermion system on an optical lattice ⋮ Existence condition for the eigenvalue of a three-particle Schrödinger operator on a lattice ⋮ On the existence of eigenvalues of the three-particle discrete Schrödinger operator ⋮ Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions ⋮ The existence of bound states in a system of three particles in an optical lattice ⋮ Expression for the number of eigenvalues of a Friedrichs model ⋮ The number of eigenvalues of the three-particle Schrödinger operator on three dimensional lattice ⋮ Comment on the article ``On the existence of the N-body Efimov effect by X.P. Wang ⋮ Spectrum of the energy operator of a two-magnon system in the three-dimensional isotropic Heisenberg ferromagnet model with impurity ⋮ Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice ⋮ Spectral properties of a two-particle Hamiltonian on a lattice ⋮ Positivity of eigenvalues of the two-particle Schrödinger operator on a lattice ⋮ Asymptotic behavior of eigenvalues of the two-particle discrete Schrödinger operator ⋮ Analysis of the discrete Spectrum of the family SPECTRUM of \(3\times 3\) operator matrices ⋮ Infinite number of eigenvalues of \(2\times 2\) operator matrices: asymptotic discrete spectrum ⋮ Why there is no Efimov effect for four bosons and related results on the finiteness of the discrete spectrum ⋮ Spectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling and bounded dispersion relation ⋮ Positivity of the two-particle Hamiltonian on a lattice ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Finiteness of the discrete spectrum of the Schrödinger operator of three particles on a lattice ⋮ On the number of eigenvalues of a matrix operator ⋮ Multiplicity of virtual levels at the lower edge of the continuous spectrum of a two-particle Hamiltonian on a lattice ⋮ Universal low-energy behavior in three-body systems ⋮ Formula for the number of eigenvalues of a three-particle Schrödinger operator on a lattice ⋮ The Efimov effect for a model ``three-particle discrete Schrödinger operator ⋮ Existence of bound states of N-body problem in an optical lattice ⋮ On the virtual level of two-body interactions and applications to three-body systems in higher dimensions ⋮ The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice ⋮ On compact perturbation of two-particle Schrödinger operator on a lattice ⋮ Asymptotic distribution of negative eigenvalues for three-body systems in two dimensions: Efimov effect in the antisymmetric space ⋮ An eigenvalue multiplicity formula for the Schur complement of a \(3\times3\) block operator matrix ⋮ Unnamed Item ⋮ Spectral attributes of self-adjoint Fredholm operators in Hilbert space: a rudimentary insight ⋮ Threshold phenomena in the spectrum of the two-particle Schrödinger operator on a lattice ⋮ On the number of eigenvalues of a model operator associated to a system of three-particles on lattices ⋮ On the discrete spectrum of a model operator in fermionic Fock space ⋮ Potentials for non-local Schrödinger operators with zero eigenvalues ⋮ Two sides of the coin: The Efimov effect and collapse in three-body systems with point-like interactions. I ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Decay rates of bound states at the spectral threshold of multi-particle Schrödinger operators ⋮ Existence of two-cluster threshold resonances and the N-body Efimov effect ⋮ The absence of the Efimov effect in systems of one- and two-dimensional particles ⋮ Discrete spectrum of a noncompact perturbation of a three-particle Schrödinger operator on a lattice
Cites Work
This page was built for publication: The Efimov effect. Discrete spectrum asymptotics