Stark resonances: Asymptotics and distributional Borel sum

DOI10.1007/BF02099764zbMath0785.35082OpenAlexW2054021899MaRDI QIDQ1311681

Emanuela Caliceti, Marco Maioli, Vincenzo Grecchi

Publication date: 21 January 1994

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

Full work available at URL: https://doi.org/10.1007/bf02099764

zbMATH Keywords

resonancesbound statesdistributional Borel sumlarge order asymptotics of the perturbation coefficientsOppenheimer-Bender-Wu asymptoticsStark effect perturbation

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 (11)

Time delay and resonances in ``volcano potentials ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Double wells: Nevanlinna analyticity, distributional Borel sum and asymptotics ⋮ Distributional Borel summability for vacuum polarization by an external electric field ⋮ Calculation of the characteristic functions of anharmonic oscillators ⋮ Spectral properties of the Dirac equation in unbounded vector potentials ⋮ Instantons in quantum mechanics and resurgent expansions ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Bound states and resonances in sombrero potentials ⋮ Bound states and ``resonances in quantum anharmonic oscillators ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2

Cites Work

• Unnamed Item
• 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
• The mathematical theory of resonances whose widths are exponentially small
• Fifty years of eigenvalue perturbation theory
• Equivalence of unstable anharmonic oscillators and double wells

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