| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Rochester, Dept Phys & Astron, Rochester, NY 14627 - USA
[2] Saha Inst Nucl Phys, Kolkata 700064, W Bengal - India
[3] Univ Sao Paulo, Inst Fis, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | MODERN PHYSICS LETTERS A; v. 30, n. 6 FEB 28 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
It has been shown earlier {[}D. Bazeia and A. K. Das, Phys. Lett. B 715, 256 (2012)] that the solubility of the Legendre and the associated Legendre equations can be understood as a consequence of an underlying supersymmetry and shape invariance. We have extended this result to the hypergeometric equation. Since the hypergeometric equation as well as the hypergeometric function reduce to various orthogonal polynomials, this study shows that the solubility of all such systems can also be understood as a consequence of an underlying supersymmetry and shape invariance. Our analysis leads naturally to closed form expressions (Rodrigues' formula) for the orthogonal polynomials. (AU) | |
| FAPESP's process: | 13/08090-9 - Generalized Octonions and their applications to higher dimensional Physics |
| Grantee: | Pushpa |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |