Stationary oscillations in a damped wave equation from isospectral Bessel functions
N. Barbosa–Cendejas and M.A. Reyes
Instituto de Física, Universidad de Guanajuato, Apartado Postal E143, 37150 León,Gto., México
Recibido el 2 de junio de 2008
Aceptado el 29 de julio de 2008
Abstract
Using the isospectral partners of the Bessel functions derived by Reyes et al. [1], we find, on one hand, that these functions show non–typical supersymmetric (SUSY) behavior and, on the other, that the isospectral partner of the classical wave equation is equivalent to that of a damped system whose oscillations do not vanish in time, but show a non–harmonic shape.
Keywords: Supersymmetry; Bessel functions.
Resumen
Usando las compañeras isoespeetrales de las funciones de Bessel obtenidas por Reyes et al. [1], encontramos, por un lado, que estas funciones muestran un comportamiento atípico de SUSY, mientras que, por otro lado, la compañera isoespectral de la ecuación de onda clásica es equivalente a la de un sistema amortiguado cuyas oscilaciones no desvanecen con el tiempo, sino que obtienen una forma que no es armónica.
Descriptores: Supersimetría; ecuación de Bessel.
PACS: 02.30.Hq; 03.65.–w; 11.30.Pb
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Acknowledgements
We acknowledge support from CONACYT of México, through a scholarship for NBC, and through grant No. SEP–2003–C0245364.
References
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