Regularized Green's Function for the Inverse Square Potential
高能物理 - 理论
2007-05-23 v2 高能物理 - 唯象学
数学物理
math.MP
核理论
量子物理
摘要
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.
引用
@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}
}
备注
10 pages. The final section was expanded