The classical field limit of nonrelativistic bosons. I: Borel summability for bounded potentials

DOI10.1016/0003-4916(80)90320-6zbMath0447.47026OpenAlexW1996302724MaRDI QIDQ1146369

Jean Ginibre, Giorgio Velo

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0003-4916(80)90320-6

zbMATH Keywords

quantum mechanicsclassical limitBorel summabilitynonrelativistic Bosons

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Groups and semigroups of linear operators (47D03) Many-body theory; quantum Hall effect (81V70) Abel, Borel and power series methods (40G10) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (8)

Low-energy spectrum and dynamics of the weakly interacting Bose gas ⋮ Beyond Bogoliubov dynamics ⋮ Bogoliubov dynamics and higher-order corrections for the regularized Nelson model ⋮ Unnamed Item ⋮ A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field, using a Fock space approach ⋮ Constructive expansion for vector field theories I. Quartic models in low dimensions ⋮ Unnamed Item ⋮ Asymptotic expansion of low-energy excitations for weakly interacting bosons

Cites Work

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• The classical field limit of scattering theory for non-relativistic many- boson systems. I
• On a class of non linear Schrödinger equations with non local interactions
• Some remarks on the ground state of infinite systems in statistical mechanics
• An improvement of Watson’s theorem on Borel summability

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