Physics – Mathematical Physics
Scientific paper
1997-07-10
Nuovo Cimento B 113 (April 1998) 549-552
Physics
Mathematical Physics
3 pages in LaTex
Scientific paper
We connect the classical free damping cases by means of Rosner's construction in supersymmetric quantum mechanics. Starting with the critical damping, one can obtain in the underdamping case a chirping of instantaneous physical frequency \omega ^{2}(t) \propto \omega_{u}^{2}sech^2(\omega_{u}t), whereas in the overdamped case the "chirping" is of the (unphysical) type \omega ^{2}(t)\propto\omega_{o}^{2}sec^{2}(\omega_{o}t), where \omega_{u}$ and $\omega_{o} are the underdamped and overdamped frequency parameters, respectively
Romero Jose L.
Rosu Haret C.
Socorro José
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