dorsal/arxiv
View SchemaSchr\"{o}dinger Equation with the Potential $V(r)=a r^2+b r^{-4}+c r^{-6}$
| Authors | Shi-Hai Dong, Xi-wen Hou, Zhong-Qi Ma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9808037 |
| URL | https://arxiv.org/abs/quant-ph/9808037 |
Abstract
By making use of an ${\it ansatz}$ for the eigenfunction, we obtain the exact solutions to the Schr\"{o}dinger equation with the anharmonic potential, $V(r)=a r^2+b r^{-4}+c r^{-6}$, both in three dimensions and in two dimensions, where the parameters $a$, $b$, and $c$ in the potential satisfy some constraints.
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"abstract": "By making use of an ${\\it ansatz}$ for the eigenfunction, we obtain the exact\nsolutions to the Schr\\\"{o}dinger equation with the anharmonic potential,\n$V(r)=a r^2+b r^{-4}+c r^{-6}$, both in three dimensions and in two dimensions,\nwhere the parameters $a$, $b$, and $c$ in the potential satisfy some\nconstraints.",
"arxiv_id": "quant-ph/9808037",
"authors": [
"Shi-Hai Dong",
"Xi-wen Hou",
"Zhong-Qi Ma"
],
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"quant-ph"
],
"title": "Schr\\\"{o}dinger Equation with the Potential $V(r)=a r^2+b r^{-4}+c r^{-6}$",
"url": "https://arxiv.org/abs/quant-ph/9808037"
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