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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/964| Newton’s laws of motion in the form of a Riccati equation | |
| HARET CODRATIAN ROSU | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1103/PhysRevE.65.047602 | |
| "We discuss two applications of a Riccati equation to Newton’s laws of motion. The first one is the motion of a particle under the influence of a power law central potential V(r)=krε. For zero total energy we show that the equation of motion can be cast in the Riccati form. We briefly show here an analogy to barotropic Friedmann-Robertson-Lemaitre cosmology where the expansion of the universe can be also shown to obey a Riccati equation. A second application in classical mechanics, where again the Riccati equation appears naturally, are problems involving quadratic friction. We use methods reminiscent to nonrelativistic supersymmetry to generalize and solve such problems." | |
| American Physical Society | |
| 2002 | |
| Artículo | |
| Inglés | |
| Público en general | |
| Marek Nowakowski and Haret C. Rosu Phys. Rev. E 65, 047602 (March 2002) | |
| FÍSICA | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |
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| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| PhysRevE65(2002)047602.pdf | 126.95 kB | Adobe PDF | Visualizar/Abrir |