Resonances in one-dimensional Stark effect and continued fractions

DOI10.1063/1.524111zbMath0443.34022OpenAlexW2094055378MaRDI QIDQ3886082

Marco Maioli, Sandro Graffi, S. Levoni, Vincenzo Grecchi

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524111

zbMATH Keywords

resonancesperturbation seriesStieltjes type continued fractionStark effect

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Convergence and divergence of continued fractions (40A15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (7)

A method for summation of perturbation series ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Resonances in the Klein–Gordon theory of the relativistic Stark effect ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Resonances in the One Dimensional Stark Effect in the Limit of Small Field ⋮ Operatori di Schroedinger con campi elettrici

Cites Work

• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory

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