Borel summability for a nonpolynomial potential

DOI10.1007/BF01209633zbMath0508.34042MaRDI QIDQ1837825

Guy Auberson

Publication date: 1982

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

zbMATH Keywords

Hilbert spaceperturbation expansioncomplex singularitiesBorel summabilityglobal analyticitySchrödinger Hamiltonian singular perturbation

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Abel, Borel and power series methods (40G10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (3)

Energy levels of a nonpolynomial oscillator using finite difference technique ⋮ Inner product theory calculations for some rational potentials in two-dimensional space ⋮ Borel-Leroy summability of a nonpolynomial potential

Cites Work

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• Determination of eigenvalues by divergent perturbation series
• On the interaction of the type λx2/(1+g x2)
• Some properties of Borel summable functions

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