dorsal/arxiv
View SchemaSpectrum of One-Dimensional Anharmonic Oscillators
| Authors | H. A. Alhendi, E. I. Lashin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305128 |
| URL | https://arxiv.org/abs/quant-ph/0305128 |
| DOI | 10.1139/p04-085 |
| Journal | Can.J.Phys. 83 (2005) 541 |
Abstract
We use a power-series expansion to calculate the eigenvalues of anharmonic oscillators bounded by two infinite walls. We show that for large finite values of the separation of the walls, the calculated eigenvalues are of the same high accuracy as the values recently obtained for the unbounded case by the inner-product quantization method. We also apply our method to the Morse potential. The eigenvalues obtained in this case are in excellent agreement with the exact values for the unbounded Morse potential.
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"abstract": "We use a power-series expansion to calculate the eigenvalues of anharmonic\noscillators bounded by two infinite walls. We show that for large finite values\nof the separation of the walls, the calculated eigenvalues are of the same high\naccuracy as the values recently obtained for the unbounded case by the\ninner-product quantization method. We also apply our method to the Morse\npotential. The eigenvalues obtained in this case are in excellent agreement\nwith the exact values for the unbounded Morse potential.",
"arxiv_id": "quant-ph/0305128",
"authors": [
"H. A. Alhendi",
"E. I. Lashin"
],
"categories": [
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],
"doi": "10.1139/p04-085",
"journal_ref": "Can.J.Phys. 83 (2005) 541",
"title": "Spectrum of One-Dimensional Anharmonic Oscillators",
"url": "https://arxiv.org/abs/quant-ph/0305128"
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