dorsal/arxiv
View SchemaVariational Sturmian Approximation: A nonperturbative method of solving time-independent Schr\"odinger equation
| Authors | Ali Mostafazadeh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105047 |
| URL | https://arxiv.org/abs/quant-ph/0105047 |
| DOI | 10.1063/1.1385374 |
| Journal | J. Math. Phys. 42 (2001) 3372-3389 |
Abstract
A variationally improved Sturmian approximation for solving time-independent Schr\"odinger equation is developed. This approximation is used to obtain the energy levels of a quartic anharmonic oscillator, a quartic potential, and a Gaussian potential. The results are compared with those of the perturbation theory, the WKB approximation, and the accurate numerical values.
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"abstract": "A variationally improved Sturmian approximation for solving time-independent\nSchr\\\"odinger equation is developed. This approximation is used to obtain the\nenergy levels of a quartic anharmonic oscillator, a quartic potential, and a\nGaussian potential. The results are compared with those of the perturbation\ntheory, the WKB approximation, and the accurate numerical values.",
"arxiv_id": "quant-ph/0105047",
"authors": [
"Ali Mostafazadeh"
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"doi": "10.1063/1.1385374",
"journal_ref": "J. Math. Phys. 42 (2001) 3372-3389",
"title": "Variational Sturmian Approximation: A nonperturbative method of solving time-independent Schr\\\"odinger equation",
"url": "https://arxiv.org/abs/quant-ph/0105047"
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