Supersymmetric features of the Error and Dawson's functions



Título del documento: Supersymmetric features of the Error and Dawson's functions
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000389074
ISSN: 0035-001X
Autores: 1
1
Instituciones: 1Universidad de Guanajuato, Departamento de Física, León, Guanajuato. México
Año:
Periodo: Nov-Dic
Volumen: 61
Número: 6
Paginación: 475-480
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés 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
Disciplinas: Física y astronomía
Palabras clave: Física,
Supersimetría,
Función de error,
Función de Dawson
Keyword: Physics and astronomy,
Physics,
Supersymmetry,
Error function,
Dawson's function
Texto completo: Texto completo (Ver PDF)