Transformation of the asymptotic perturbation expansion for the anharmonic oscillator into a convergent expansion

Ivanov, Igor2015-12-080375-9601http://hdl.handle.net/1885/31238For eigenvalues E(β) of the Hamiltonian of the quartic anharmonic oscillator we give a procedure allowing to transform the asymptotic Rayleigh-Schrödinger perturbation expansion into a convergent expansion, coefficients of the latter expansion being givKeywords: article; mathematical computing; oscillator Anharmonic oscillator; Diverging seriesTransformation of the asymptotic perturbation expansion for the anharmonic oscillator into a convergent expansion200410.1016/j.physleta.2004.01.0142015-12-08