Exact Solutions to the Schrödinger Equation for the Inverse-Power Potential in Two Dimensions

1999/01/15 by Shi-Hai Dong, Dong, Shi-Hai, Zhong-Qi Ma +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9901036

Latex file 9 pages and submit to Euro. Phys. J. D

arxiv created 1999/01/15 · arxiv updated 2009/12/01

Abstract

Utilizing an \it ansatz for the eigenfunctions, we arrive at an exact closed form solution to the Schrödinger 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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