Spectral analysis of the \(2+1\) fermionic trimer with contact interactions

DOI10.1007/S11040-018-9294-0zbMath1457.81040arXiv1712.10209OpenAlexW2793976453WikidataQ128935119 ScholiaQ128935119MaRDI QIDQ1756175

Simon Becker, Andrea Ottolini, Alessandro Michelangeli

Publication date: 14 January 2019

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.10209

zbMATH Keywords

fermonic \(2+1\) systemparticle systems with zero-range/contact interactionsTer-Martirosyan-Skornyakov Hamiltonians

Mathematics Subject Classification ID

Three-body problems (70F07) Applications of operator theory in the physical sciences (47N50) Functional calculus for linear operators (47A60) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of functional analysis in quantum physics (46N50)

Related Items (9)

Stability of the \(2+2\) fermionic system with point interactions ⋮ Spectral theory of the Fermi polaron ⋮ Three-body Hamiltonian with regularized zero-range interactions in dimension three ⋮ Mini-workshop: Zero-range and point-like singular perturbations: for a spillover to analysis, PDE and differential geometry. Abstracts from the mini-workshop held October 2--8, 2022 ⋮ Existence condition for the eigenvalue of a three-particle Schrödinger operator on a lattice ⋮ Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes ⋮ The number of eigenvalues of the three-particle Schrödinger operator on three dimensional lattice ⋮ Energy contribution of a point-interacting impurity in a Fermi gas ⋮ Models of zero-range interaction for the bosonic trimer at unitarity

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