The symmetry and Efimov's effect in systems of three-quantum particles

DOI10.1007/BF01211058zbMath0515.47024OpenAlexW2083922499MaRDI QIDQ1051882

G. M. Zhislin, Semjon A. Vugalter

Publication date: 1982

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01211058

zbMATH Keywords

arbitrarily short range two-body potentialsfinite non-zero angular momentuminfinite discrete spectrumno bound subsystemssymmetry subspaces have finite discrete spectrumthree body Schrödinger operatorthree fermionstwo fermionsvirtual levels of two body subsystem

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (14)

On Efimov's effect in a system of three identical quantum particles ⋮ Absence of the Efimov effect in a homogeneous magnetic field ⋮ The increase of binding energy and enhanced binding in nonrelativistic QED ⋮ Efimov effect for a three-particle system with two identical fermions ⋮ Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality ⋮ Contact interactions and gamma convergence ⋮ The existence of bound states in a system of three particles in an optical lattice ⋮ Localization Error Estimate for the Massless Relativistic Kinetic Energy Operator ⋮ Why there is no Efimov effect for four bosons and related results on the finiteness of the discrete spectrum ⋮ On the virtual level of two-body interactions and applications to three-body systems in higher dimensions ⋮ Convergent expansions of eigenvalues of the generalized Friedrichs model with a rank-one perturbation ⋮ The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice ⋮ Decay rates of bound states at the spectral threshold of multi-particle Schrödinger operators ⋮ The absence of the Efimov effect in systems of one- and two-dimensional particles

Cites Work

• On the discrete spectrum of the Schrödinger operators of multiparticle systems
• On the point spectrum of the Schrödinger operators of multiparticle systems
• On the finiteness of the discrete spectrum of the three-particle Schrödinger operator
• Unnamed Item

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