Stationary Oscillations in a Damped Wave Equation from Isospectral Bessel Functions

2008/04/09 by N. Barbosa-Cendejas, Barbosa-Cendejas, N., M. A. Reyes +1
Mathematics · Physics and Astronomy · #34L40 #42C05 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:34L40 #msc:42C05

paper · pdf · doi:10.48550/arxiv.0804.1510

5 pages, 2 figures

arxiv created 2008/04/09 · arxiv updated 2009/12/01

Abstract

Using the isospectral partners of the Bessel functions derived by Reyes et al., 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.

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