Regularized Green's Function for the Inverse Square Potential

2001/10/31 by Horacio E. Camblong, Carlos R. Ordonez
Physics and Astronomy · Mathematics · #hep-th #hep-ph #math-ph #math.MP #nucl-th #quant-ph

paper · pdf · doi:10.1142/s0217732302006990

published as Mod.Phys.Lett. A17 (2002) 817 · 10 pages. The final section was expanded

arxiv created 2002/06/10 · arxiv updated 2009/11/30

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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