dorsal/arxiv
View SchemaExact Solutions to the Schr\"{o}dinger Equation for the Inverse-Power Potential in Two Dimensions
| Authors | Shi-Hai Dong, Zhong-Qi Ma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9901036 |
| URL | https://arxiv.org/abs/quant-ph/9901036 |
Abstract
Utilizing an ${\it ansatz}$ for the eigenfunctions, we arrive at an exact closed form solution to the Schr\"{o}dinger equation with the inverse-power potential, $V(r)=ar^{-4}+br^{-3}+cr^{-2}+dr^{-1}$ in two dimensions, where the parameters of the potential $a, b, c, d$ satisfy a constraint.
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"abstract": "Utilizing an ${\\it ansatz}$ for the eigenfunctions, we arrive at an exact\nclosed form solution to the Schr\\\"{o}dinger equation with the inverse-power\npotential, $V(r)=ar^{-4}+br^{-3}+cr^{-2}+dr^{-1}$ in two dimensions, where the\nparameters of the potential $a, b, c, d$ satisfy a constraint.",
"arxiv_id": "quant-ph/9901036",
"authors": [
"Shi-Hai Dong",
"Zhong-Qi Ma"
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"title": "Exact Solutions to the Schr\\\"{o}dinger Equation for the Inverse-Power Potential in Two Dimensions",
"url": "https://arxiv.org/abs/quant-ph/9901036"
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