Supersymmetric partner chirping of Newtonian free damping
Rosu, H. C. ; Romero, J. L. ; Socorro, J.
arXiv, 9707012 / Harvested from arXiv
Text on arXiv
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
Publié le : 1997-07-10
Classification:  Mathematical Physics,  Quantum Physics 
@article{9707012,
     author = {Rosu, H. C. and Romero, J. L. and Socorro, J.},
     title = {Supersymmetric partner chirping of Newtonian free damping},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9707012}
}

Rosu, H. C.; Romero, J. L.; Socorro, J. Supersymmetric partner chirping of Newtonian free damping. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9707012/