Double wells: Nevanlinna analyticity, distributional Borel sum and asymptotics

DOI10.1007/BF02099360zbMath0840.35087OpenAlexW1993333279MaRDI QIDQ1907622

Marco Maioli, Vincenzo Grecchi, Emanuela Caliceti

Publication date: 13 February 1996

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

Full work available at URL: https://doi.org/10.1007/bf02099360

zbMATH Keywords

quartic anharmonic oscillatorBorel summability of the Rayleigh-Schrödinger perturbation seriesenergy levels of a Stark family

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (7)

Time delay and resonances in ``volcano potentials ⋮ Distributional Borel summability for vacuum polarization by an external electric field ⋮ Spectral properties of the Dirac equation in unbounded vector potentials ⋮ LOCALIZATION OF MATTERS ON A NON-Z<sub>2</sub>-SYMMETRIC THICK BRANE ⋮ Multi-instantons and exact results. III: Unification of even and odd anharmonic oscillators ⋮ Bound states and resonances in sombrero potentials ⋮ Bound states and ``resonances in quantum anharmonic oscillators

Cites Work

• Stability of Schrödinger eigenvalue problems
• Double wells: Perturbation series summable to the eigenvalues and directly computable approximations
• 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
• Stark resonances in disordered systems
• Stark resonances: Asymptotics and distributional Borel sum
• Equivalence of unstable anharmonic oscillators and double wells

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