Supersymmetric partner chirping of Newtonian free damping
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) ωu2sech2(ωut), whereas in the overdamped case the "chirping" is of the (unphysical) type ω 2(t)ωo2sec2(ωot), where ωu and ωo are the underdamped and overdamped frequency parameters, respectively
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