The absence of the Efimov effect in systems of one- and two-dimensional particles

DOI10.1063/5.0033524zbMath1486.81106arXiv2010.08452OpenAlexW4200023680MaRDI QIDQ5020211

Simon Barth, Andreas Bitter, Semjon A. Vugalter

Publication date: 4 January 2022

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

Full work available at URL: https://arxiv.org/abs/2010.08452

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (2)

Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality ⋮ Limiting absorption principle and virtual levels of operators in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Decay rates of bound states at the spectral threshold of multi-particle Schrödinger operators
• The symmetry and Efimov's effect in systems of three-quantum particles
• Unique continuation for Schrödinger operators with unbounded potentials
• The Efimov effect of three-body Schrödinger operators
• On the finiteness of the discrete spectrum of Hamiltonians for quantum systems of three one- or two-dimensional particles
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Remarks on the Schrödinger operator with singular complex potentials
• The Efimov effect. Discrete spectrum asymptotics
• A remark on the Hardy inequalities
• Control of fracture at the interface of dissimilar materials using randomly oriented inclusions and networks
• Absence of the Efimov effect in a homogeneous magnetic field
• Three resonating fermions in flatland: proof of the super Efimov effect and the exact discrete spectrum asymptotics
• Hardy-Sobolev Inequalities in a Cone
• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
• ON THE POINT SPECTRUM IN THE QUANTUM-MECHANICAL MANY-BODY PROBLEM
• Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities
• Asymptotic distribution of negative eigenvalues for three-body systems in two dimensions: Efimov effect in the antisymmetric space
• The efimov effect of three-body schrödinger operators: Asymptotics for the number of negative eigenvalues
• Why there is no Efimov effect for four bosons and related results on the finiteness of the discrete spectrum

This page was built for publication: The absence of the Efimov effect in systems of one- and two-dimensional particles