Modified Laplace Transformation Method and ITS Application to the Anharmonic Oscillator

DOI10.1142/S0217751X9700298XzbMath0907.65076arXivphysics/9702013OpenAlexW2052415271MaRDI QIDQ4212004

Hiro-Fumi Yamada, Naoki Mizutani

Publication date: 20 October 1998

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/9702013

zbMATH Keywords

convergenceanharmonic oscillatorLaplace transformationnon-Gaussian integralLaplace integral representationtruncated perturbation series

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Laplace transform (44A10) Numerical quadrature and cubature formulas (65D32) Nonlinear ordinary differential operators (34L30) Nonlinear resonances for nonlinear problems in mechanics (70K30) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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