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Galilean covariant harmonic oscillator
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Horzela, Andrzej Kapuscik, Edward |
| Copyright Year | 1993 |
| Description | A Galilean covariant approach to classical mechanics of a single particle is described. Within the proposed formalism, all non-covariant force laws defining acting forces which become to be defined covariantly by some differential equations are rejected. Such an approach leads out of the standard classical mechanics and gives an example of non-Newtonian mechanics. It is shown that the exactly solvable linear system of differential equations defining forces contains the Galilean covariant description of harmonic oscillator as its particular case. Additionally, it is demonstrated that in Galilean covariant classical mechanics the validity of the second Newton law of dynamics implies the Hooke law and vice versa. It is shown that the kinetic and total energies transform differently with respect to the Galilean transformations. |
| File Size | 433918 |
| Page Count | 14 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19930018152 |
| Archival Resource Key | ark:/13960/t13n72q9s |
| Language | English |
| Publisher Date | 1993-01-01 |
| Access Restriction | Open |
| Subject Keyword | Thermodynamics And Statistical Physics Linear Systems Covariance Particle Interactions Classical Mechanics Differential Equations Hookes Law Kinetic Energy Formalism Harmonic Oscillators Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
