Summation of asymptotic expansions of multiple-valued functions using algebraic approximants: Application to anharmonic oscillators

DOI10.1088/0305-4470/31/18/018zbMath0931.34062OpenAlexW1999268643MaRDI QIDQ4704041

Publication date: 5 December 1999

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

Full work available at URL: https://semanticscholar.org/paper/68954bb086d0f62dd163a21c5ee594a149b943be

zbMATH Keywords

energy eigenvalues algebraic approximants generalized Padé approximants large perturbation parameter cubic, quartic, sextic and octic oscillators divergent Rayleigh-Schrödinger perturbation expansions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

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