Comment on the article ``On the existence of the N-body Efimov effect by X.P. Wang

DOI10.1016/j.jfa.2012.06.009zbMath1251.81089arXiv1204.5609OpenAlexW2056661155MaRDI QIDQ447921

Dmitry K. Gridnev, Xue Ping Wang

Publication date: 30 August 2012

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

Full work available at URL: https://arxiv.org/abs/1204.5609

zbMATH Keywords

Schrödinger operatorsnumber of negative eigenvaluesEfimov effect\(N\)-body potential scattering theory

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (n)-body potential quantum scattering theory (81U10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (11)

Asymptotic expansion in time of the Schrödinger group on conical manifolds ⋮ A new Levinson's theorem for potentials with critical decay ⋮ 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 ⋮ Why there is no Efimov effect for four bosons and related results on the finiteness of the discrete spectrum ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ On the mathematical treatment of the Born-Oppenheimer approximation ⋮ Large time behavior of solutions to Schrödinger equation with complex-valued potential ⋮ On the discrete spectrum of a model operator in fermionic Fock space ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Existence of two-cluster threshold resonances and the N-body Efimov effect

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