Three resonating fermions in flatland: proof of the super Efimov effect and the exact discrete spectrum asymptotics
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Publication:2939849
DOI10.1088/1751-8113/47/50/505204zbMath1319.81036arXiv1405.1787OpenAlexW3106521881MaRDI QIDQ2939849
Publication date: 23 January 2015
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.1787
Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
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Expansion of eigenvalues of the perturbed discrete bilaplacian ⋮ On the spectrum of Schrödinger-type operators on two dimensional lattices ⋮ Efimov effect for a three-particle system with two identical fermions ⋮ Rigorous derivation of the Efimov effect in a simple model ⋮ Existence condition for the eigenvalue of a three-particle Schrödinger operator on a lattice ⋮ Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions ⋮ The number of eigenvalues of the three-particle Schrödinger operator on three dimensional lattice ⋮ 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 ⋮ Asymptotic distribution of negative eigenvalues for three-body systems in two dimensions: Efimov effect in the antisymmetric space ⋮ Convergent expansions of eigenvalues of the generalized Friedrichs model with a rank-one perturbation ⋮ The absence of the Efimov effect in systems of one- and two-dimensional particles
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