N. Fernández–García
Physics Department, Cinvestav, Apartado Postal 14–740 07000 México D.F., México, e–mail: jnicolas@fis.cinvestav.mx
Recibido el 1 de mayo de 2006
Aceptado el 1 de noviembre de 2006
Abstract
]]> Scattering states in the continuum are used as Darboux transformation functions to deform square barrier potentials. The results include complex as well as real new potentials. It is shown that an appropriate superposition of Breit–Wigner distributions connects the transmission coefficient of one dimensional short range potentials.Keywords: Darboux transformations; Gamow vectors; Breit–Wigner ditribution.
Resumen
Se usan estados de dispersión como funciones de transformación en el método de Darboux para obtener nuevos potenciales (reales o complejos) a partir de barreras cuadradas. Se muestra que una superposición apropiada de distribuciones de Breit–Wigner permite construir una buena aproximación del coeficiente de transmisión.
Descriptores: Transformaciones de Darboux; vectores de Gamow; distribución de Breit–Wigner.
PACS: 03.65.Ca; 03.65.Ge; 03.65.Fd
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]]>Acknowledgements
The author is indebted to Prof. O Rosas–Ortiz for critical observations and remarks. The support of CONACyT projects 50766, 49253–F, and Cinvestav is acknowledged.
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