Double wells: Perturbation series summable to the eigenvalues and directly computable approximations

DOI10.1007/BF01223240zbMath0645.35071OpenAlexW2059239231MaRDI QIDQ1103114

Emanuela Caliceti, Marco Maioli, Vincenzo Grecchi

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01223240

zbMATH Keywords

resonancesRayleigh-Schrödinger perturbationanalyticity of the eigenvaluesdouble-well Schrödinger operatorsHerbst-Simon model

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) Perturbations in context of PDEs (35B20)

Related Items (4)

Double wells: Nevanlinna analyticity, distributional Borel sum and asymptotics ⋮ Spectral properties of the Dirac equation in unbounded vector potentials ⋮ Spectrally equivalent time-dependent double wells and unstable anharmonic oscillators ⋮ Stark resonances: Asymptotics and distributional Borel sum

Cites Work

• Stability of Schrödinger eigenvalue problems
• The distributional Borel summability and the large coupling \(\Phi ^ 4\) lattice fields
• Erratum. The distributional Borel summability and the large coupling \(\Phi ^ 4\) lattice fields
• Perturbation theory of odd anharmonic oscillators
• The 1/R expansion for \(H^ +_ 2:\) analyticity, summability, and asymptotics
• Borel summability and indeterminacy of the Stieltjes moment problem: Application to the anharmonic oscillators
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