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Supersymmetric partner chirping of Newtonian free damping

H. C. Rosu·J. L. Romero·J. Socorro
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Abstract

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 ω^{2}(t) \propto ω_{u}^{2}sech^2(ω_{u}t), whereas in the overdamped case the "chirping" is of the (unphysical) type ω^{2}(t)\proptoω_{o}^{2}sec^{2}(ω_{o}t), where ω_{u}$ and $ω_{o} are the underdamped and overdamped frequency parameters, respectively

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H. C. Rosu, J. L. Romero, J. Socorro. 1998-05-04. Supersymmetric partner chirping of Newtonian free damping. https://arxiv.org/abs/physics/9707012

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