Dergiler / Turkish Journal of Physics / 2004 / Cilt: 28 - Sayı: 4

The Hypervirial-Padé Summation Method Applied to the Anharmonic Oscillator

Sayfa
223–227
DOI
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Özet

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

Abstract

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

Anahtar kelimeler: Anharmonic oscillator, Schrodinger equation, hypervirial theorems, Padé summation method.