dorsal/arxiv
View SchemaA new strategy to find bound states in anharmonic oscillators
| Authors | Francisco J. Gomez, Javier Sesma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411198 |
| URL | https://arxiv.org/abs/quant-ph/0411198 |
| Journal | in Fundamental Physics Meeting "Alberto Galindo", R. F. Alvarez-Estrada, A. Dobado, L. A. Fernandez, M. A. Martin-Delgado, A. Munoz Sudupe (Eds.). Aula Documental de Investigacion, Madrid, 2004, pp. 253-261 |
Abstract
A very simple procedure to calculate eigenenergies of quantum anharmonic oscillators is presented. The method, exact but for numerical computations, consists merely in requiring the vanishing of the Wronskian of two solutions which are regular respectively at the origin and at infinity. The first one can be represented by its series expansion; for the second one, an asymptotic expansion is available. The procedure is illustrated by application to quartic and sextic oscillators.
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"abstract": "A very simple procedure to calculate eigenenergies of quantum anharmonic\noscillators is presented. The method, exact but for numerical computations,\nconsists merely in requiring the vanishing of the Wronskian of two solutions\nwhich are regular respectively at the origin and at infinity. The first one can\nbe represented by its series expansion; for the second one, an asymptotic\nexpansion is available. The procedure is illustrated by application to quartic\nand sextic oscillators.",
"arxiv_id": "quant-ph/0411198",
"authors": [
"Francisco J. Gomez",
"Javier Sesma"
],
"categories": [
"quant-ph"
],
"journal_ref": "in Fundamental Physics Meeting \"Alberto Galindo\", R. F.\n Alvarez-Estrada, A. Dobado, L. A. Fernandez, M. A. Martin-Delgado, A. Munoz\n Sudupe (Eds.). Aula Documental de Investigacion, Madrid, 2004, pp. 253-261",
"title": "A new strategy to find bound states in anharmonic oscillators",
"url": "https://arxiv.org/abs/quant-ph/0411198"
},
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