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

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

1999-01-15

arxiv.org/abs/quant-ph/9901036v1

Physics

Quantum Physics

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

Scientific paper

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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