Regularized Green's Function for the Inverse Square Potential
High Energy Physics - Theory
2007-05-23 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Nuclear Theory
Quantum Physics
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.
Cite
@article{arxiv.hep-th/0110278,
title = {Regularized Green's Function for the Inverse Square Potential},
author = {Horacio E. Camblong and Carlos R. Ordonez},
journal= {arXiv preprint arXiv:hep-th/0110278},
year = {2007}
}
Comments
10 pages. The final section was expanded