Summation of the eigenvalue perturbation series by multi-valued Pade approximants: application to resonance problems and double wells

DOI10.1088/0305-4470/28/14/030zbMath0859.34075OpenAlexW2021915027MaRDI QIDQ4716624

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Publication date: 15 April 1997

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

Full work available at URL: https://doi.org/10.1088/0305-4470/28/14/030

zbMATH Keywords

anharmonic oscillator double well quadratic Padé approximants complex perturbation series

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Padé approximation (41A21) Ordinary differential equations in the complex domain (34M99) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Accurate estimates of asymptotic indices via fractional calculus ⋮ Programs for the approximation of real and imaginary single- and multi-valued functions by means of Hermite-Padé-approximants ⋮ Non-perturbative calculations for the effective potential of the PT symmetric and non-Hermitian (\(-g\varphi ^{4}\)) field theoretical model ⋮ Shafer (Hermite-Padé) approximants for functions with exponentially small imaginary part with application to equatorial waves with critical latitude. ⋮ High order analysis of the limit cycle of the van der Pol oscillator

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