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Supersymmetric partner chirping of Newtonian free damping
摘要：
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) \propto ω_{o}^{2}sec^{2}(ω_{o}t), where ω_{u} $ and $ ω_{o} are the underdamped and overdamped frequency parameters, respectively
英文摘要：
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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