Stationary Oscillations in a Damped Wave Equation from Isospectral Bessel Functions

Details Stationary Oscillations in a Damped Wave Equation from Isospectral Bessel Functions Stationary Oscillations in a Damped Wave Equation from Isospectral Bessel Functions

2008-04-09

arxiv.org/abs/0804.1510v1

Physics

Mathematical Physics

5 pages, 2 figures

Scientific paper

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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