Issue |
Europhys. Lett.
Volume 66, Number 1, April 2004
|
|
---|---|---|
Page(s) | 8 - 13 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2003-10147-6 | |
Published online | 01 March 2004 |
Isotropic three-dimensional oscillator in relativistic classical mechanics
University of Petrosani, 20 University Street - 332006-Petrosani, Romania
Received:
11
July
2003
Accepted:
29
January
2004
The trajectory of the isotropic three-dimensional oscillator in
relativistic classical mechanics is derived. Its form depends on
the values of the angular momentum l. It is a rosette for
and a circle for
, where l0 is the maximum
value of the angular momentum for a given energy. According to
expectation, in the non-relativistic limit, the rosette reduces to
an ellipse.
PACS: 03.30.+p – Special relativity / 45.50.Pk – Celestial mechanics
© EDP Sciences, 2004
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