| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000389074 |
| ISSN: | 0035-001X |
| Authors: | Reyes, M.A1 Arcos Olalla, R1 |
| Institutions: | 1Universidad de Guanajuato, Departamento de Física, León, Guanajuato. México |
| Year: | 2015 |
| Season: | Nov-Dic |
| Volumen: | 61 |
| Number: | 6 |
| Pages: | 475-480 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, teórico |
| English abstract | Following a letter by Bassett, we show first that it is possible to find an analytical approximation to the error function in terms of a finite series of hyperbolic tangents from the supersymmetric (SUSY) solution of the Poschl-Teller eigenvalue problem in quantum mechanics (QM). Afterwards, we show that the second order differential equation for the derivatives of Dawson's function can be found in another SUSY related eigenvalue problem, where the factorization of the simple harmonic oscillator Hamiltonian renders the wrong-sign Hermite differential equation, and that Dawson's second order differential equation possess a singular SUSY type relation to this equation |
| Disciplines: | Física y astronomía |
| Keyword: | Física, Supersimetría, Función de error, Función de Dawson |
| Keyword: | Physics and astronomy, Physics, Supersymmetry, Error function, Dawson's function |
| Full text: | Texto completo (Ver PDF) |
