Regularized Green's Function for the Inverse Square Potential

Details Regularized Green's Function for the Inverse Square Potential Regularized Green's Function for the Inverse Square Potential

2001-10-30

arxiv.org/abs/hep-th/0110278v2

Mod.Phys.Lett. A17 (2002) 817

Physics

High Energy Physics

High Energy Physics - Theory

10 pages. The final section was expanded

Scientific paper

10.1142/S0217732302006990

A Green's function approach is presented for the D-dimensional inverse square potential in quantum mechanics. This approach is implemented by the introduction of hyperspherical coordinates and the use of a real-space regulator in the regularized version of the model. The application of Sturm-Liouville theory yields a closed expression for the radial energy Green's function. Finally, the equivalence with a recent path-integral treatment of the same problem is explicitly shown.

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