Borel-Leroy summability of a nonpolynomial potential

DOI10.1016/S0034-4877(08)80021-3zbMath1176.34109OpenAlexW2058227726MaRDI QIDQ1005518

J. Martínez

Publication date: 9 March 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(08)80021-3

zbMATH Keywords

Schrödinger operatorBorel-Leroy summabilitynonpolynomial potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) 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)

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Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function

Cites Work

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• Borel summability for a nonpolynomial potential
• A rational interaction: Lower bound on the number of I-PI graphs without tadpoles
• The Schrodinger equation for the x²+λx²/(1+gx²) interaction
• On the interaction of the type λx2/(1+g x2)
• An improvement of Watson’s theorem on Borel summability
• Some properties of Borel summable functions

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