Models of zero-range interaction for the bosonic trimer at unitarity

DOI10.1142/S0129055X21500100zbMath1499.81047arXiv2006.02426OpenAlexW3034081048MaRDI QIDQ5156085

Alessandro Michelangeli

Publication date: 14 October 2021

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

Full work available at URL: https://arxiv.org/abs/2006.02426

zbMATH Keywords

Mellin transformquadratic formsscattering lengthunitary gaseszero-range interactionBethe-Peierls contact conditionquantum three-body problemKreĭn-Višik-Birman self-adjoint extension theoryTer-Martirosyan Skorniakov asymptoticsvon Neumann's self-adjoint extension theory

Mathematics Subject Classification ID

Three-body problems (70F07) Operations with distributions and generalized functions (46F10) Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) (n)-body potential quantum scattering theory (81U10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of functional analysis in quantum physics (46N50) Applications of functional analysis to differential and integral equations (46N20) Integral equations with miscellaneous special kernels (45H05) Elliptic operators and their generalizations (47F10)

Related Items (8)

Three-body Hamiltonian with regularized zero-range interactions in dimension three ⋮ Quantum geometric confinement and dynamical transmission in Grushin cylinder ⋮ Rigorous derivation of the Efimov effect in a simple model ⋮ 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 ⋮ Zero-range Hamiltonian for a Bose gas with an impurity ⋮ On creating new essential spectrum by self-adjoint extension of gapped operators ⋮ On a family of finitely many point interaction Hamiltonians free of ultraviolet pathologies ⋮ Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes

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