dorsal/arxiv
View SchemaThe Hypervirial-Pad\'e Summation Method Applied to the Anharmonic Oscillator
| Authors | Altug Arda |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411168 |
| URL | https://arxiv.org/abs/quant-ph/0411168 |
| Journal | Turk.J.Phys.28:223-227,2004 |
Abstract
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 $\lambda$.
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"abstract": "The energy eigenvalues of the anharmonic oscillator characterized by the\ncubic potential for various eigenstates are determined within the framework of\nthe hypervirial-Pad\\\u0027e summation method. For this purpose the E[3,3] and E[3,4]\nPad\\\u0027e approximants are formed to the energy perturbation series and given the\nenergy eigenvalues up to fourth order in terms of the anharmonicity parameter\n$\\lambda$.",
"arxiv_id": "quant-ph/0411168",
"authors": [
"Altug Arda"
],
"categories": [
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],
"journal_ref": "Turk.J.Phys.28:223-227,2004",
"title": "The Hypervirial-Pad\\\u0027e Summation Method Applied to the Anharmonic Oscillator",
"url": "https://arxiv.org/abs/quant-ph/0411168"
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