The Hypervirial-Padé Summation Method Applied to the Anharmonic Oscillator

Altug Arda

Published 2004-11-23Version 1

The energy eigenvalues of the anharmonic oscillator characterized by the cubic potential for various eigenstates are determined within the framework of the hypervirial-Pad\'e summation method. For this purpose the E[3,3] and E[3,4] Pad\'e approximants are formed to the energy perturbation series and given the energy eigenvalues up to fourth order in terms of the anharmonicity parameter $\lambda$.