dorsal/arxiv
View SchemaSupersymmetric partner chirping of Newtonian free damping
| Authors | H. C. Rosu, J. L. Romero, J. Socorro |
|---|---|
| Categories | |
| ArXiv ID | physics/9707012 |
| URL | https://arxiv.org/abs/physics/9707012 |
| Journal | Nuovo Cimento B 113 (April 1998) 549-552 |
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 \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 $\omega_{o} are the underdamped and overdamped frequency parameters, respectively
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"abstract": "We connect the classical free damping cases by means of Rosner\u0027s construction\nin supersymmetric quantum mechanics. Starting with the critical damping, one\ncan obtain in the underdamping case a chirping of instantaneous physical\nfrequency \\omega ^{2}(t) \\propto \\omega_{u}^{2}sech^2(\\omega_{u}t), whereas in\nthe overdamped case the \"chirping\" is of the (unphysical) type \\omega\n^{2}(t)\\propto\\omega_{o}^{2}sec^{2}(\\omega_{o}t), where \\omega_{u}$ and\n$\\omega_{o} are the underdamped and overdamped frequency parameters,\nrespectively",
"arxiv_id": "physics/9707012",
"authors": [
"H. C. Rosu",
"J. L. Romero",
"J. Socorro"
],
"categories": [
"math-ph",
"math.MP",
"quant-ph"
],
"journal_ref": "Nuovo Cimento B 113 (April 1998) 549-552",
"title": "Supersymmetric partner chirping of Newtonian free damping",
"url": "https://arxiv.org/abs/physics/9707012"
},
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