The efimov effect of three-body schrödinger operators: Asymptotics for the number of negative eigenvalues
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Publication:5288120
DOI10.1017/S0027763000004426zbMath0827.35099MaRDI QIDQ5288120
Publication date: 10 August 1993
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Scattering theory for PDEs (35P25) Spectrum, resolvent (47A10) (n)-body potential quantum scattering theory (81U10)
Related Items (19)
The threshold effects for the two-particle Hamiltonians on lattices ⋮ Threshold of discrete Schrödinger operators with delta potentials on n-dimensional lattice ⋮ On the localization of binding for Schrödinger operators and its extensions to elliptic operators ⋮ Efimov effect for a three-particle system with two identical fermions ⋮ Rigorous derivation of the Efimov effect in a simple model ⋮ Threshold effects in a two-fermion system on an optical lattice ⋮ Comment on the article ``On the existence of the N-body Efimov effect by X.P. Wang ⋮ Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice ⋮ 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 ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ On the number of eigenvalues of a matrix operator ⋮ Large time behavior of solutions to Schrödinger equation with complex-valued potential ⋮ On the virtual level of two-body interactions and applications to three-body systems in higher dimensions ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Cluster Properties of One Particle Schrödinger Operators. II ⋮ 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
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Large time behavior of the \(L^ p\) norm of Schrödinger semigroups
- The Efimov effect of three-body Schrödinger operators
- The Efimov effect. Discrete spectrum asymptotics
- ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
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