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arXiv · hep-th/0110278

Regularized Green's Function for the Inverse Square Potential

Horacio E. Camblong·Carlos R. Ordonez
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Abstract

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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Horacio E. Camblong, Carlos R. Ordonez. 2002-06-10. Regularized Green's Function for the Inverse Square Potential. https://doi.org/10.1142/s0217732302006990

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