{ "id": "quant-ph/9901036", "version": "v1", "published": "1999-01-15T01:51:56.000Z", "updated": "1999-01-15T01:51:56.000Z", "title": "Exact Solutions to the Schrödinger Equation for the Inverse-Power Potential in Two Dimensions", "authors": [ "Shi-Hai Dong", "Zhong-Qi Ma" ], "comment": "Latex file 9 pages and submit to Euro. Phys. J. D", "categories": [ "quant-ph" ], "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.", "revisions": [ { "version": "v1", "updated": "1999-01-15T01:51:56.000Z" } ], "analyses": { "keywords": [ "inverse-power potential", "schrödinger equation", "exact solutions", "dimensions" ], "note": { "typesetting": "LaTeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 494115, "adsabs": "1999quant.ph..1036D" } } }