The Efimov effect and an extended Szegő-Kac limit theorem
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Publication:1386524
DOI10.1023/A:1007466105600zbMath0903.45003OpenAlexW134792766MaRDI QIDQ1386524
Konstantin A. Makarov, Saidachmat Lakaev, Sergio A. Albeverio
Publication date: 10 August 1998
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1007466105600
three-body problemFredholm determinantsconvolution operatorsEfimov effectWiener-Hopf operatorsrational symbolsSzegő-Kac limit theorem
Three-body problems (70F07) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)
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On the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymptotics ⋮ 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 ⋮ Rigorous derivation of the Efimov effect in a simple model ⋮ Ahiezer-Kac type Fredholm determinant asymptotics for convolution operators with rational symbols ⋮ Comment on the article ``On the existence of the N-body Efimov effect by X.P. Wang ⋮ Universal low-energy behavior in three-body systems ⋮ Unnamed Item ⋮ 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
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