dorsal/arxiv
View SchemaApplication of the Frobenius method to the Schrodinger equation for a spherically symmetric potential: anharmonic oscillator
| Authors | Przemyslaw Koscik, Anna Okopinska |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512087 |
| URL | https://arxiv.org/abs/quant-ph/0512087 |
| DOI | 10.1088/0305-4470/38/35/008 |
| Journal | J. Phys. A: Math. Gen. 38 7743-7755 (2005) |
Abstract
The power series method has been adapted to compute the spectrum of the Schrodinger equation for central potential of the form $V(r)={d_{-2}\over r^2}+{d_{-1}\over r}+\sum_{i=0}^{\infty} d_{i}r^i$. The bound-state energies are given as zeros of a calculable function, if the potential is confined in a spherical box. For an unconfined potential the interval bounding the energy eigenvalues can be determined in a similar way with an arbitrarily chosen precision. The very accurate results for various spherically symmetric anharmonic potentials are presented.
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"abstract": "The power series method has been adapted to compute the spectrum of the\nSchrodinger equation for central potential of the form $V(r)={d_{-2}\\over\nr^2}+{d_{-1}\\over r}+\\sum_{i=0}^{\\infty} d_{i}r^i$. The bound-state energies\nare given as zeros of a calculable function, if the potential is confined in a\nspherical box. For an unconfined potential the interval bounding the energy\neigenvalues can be determined in a similar way with an arbitrarily chosen\nprecision. The very accurate results for various spherically symmetric\nanharmonic potentials are presented.",
"arxiv_id": "quant-ph/0512087",
"authors": [
"Przemyslaw Koscik",
"Anna Okopinska"
],
"categories": [
"quant-ph",
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"math.MP"
],
"doi": "10.1088/0305-4470/38/35/008",
"journal_ref": "J. Phys. A: Math. Gen. 38 7743-7755 (2005)",
"title": "Application of the Frobenius method to the Schrodinger equation for a spherically symmetric potential: anharmonic oscillator",
"url": "https://arxiv.org/abs/quant-ph/0512087"
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