Anharmonic oscillators and generalized hypergeometric functions

DOI10.1063/1.526451zbMath0562.70023OpenAlexW2015788241MaRDI QIDQ3675581

R. Caboz, J. P. Codaccioni

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526451

zbMATH Keywords

action integralperiodsemiclassical quantizationpolynomial nonlinearitygeneralized hypergeometric functionsanharmonic oscillators

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99)

Related Items (5)

Normal form methods for symbolic creation of approximate solutions of nonlinear dynamical systems ⋮ On the summation of the Birkhoff–Gustavson normal form of an anharmonic oscillator ⋮ Hyperelliptic Integrals and Multiple Hypergeometric Series ⋮ The Birkhoff–Gustavson normal form of one-dimensional double-well Hamiltonians ⋮ Incomplete Hyperelliptic Integrals and Hypergeometric Series

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