Some peculiar properties of the relativistic oscillator in the post-Galilean approximation

I.P. Pavlotsky and G. Vilasi

Physica A: Statistical Mechanics and its Applications, 1995, vol. 214, issue 1, 68-81

Abstract: In the post-Galilean approximation, the Lagrangians are singular on a submanifold of the phase space. A general analysis of these peculiarities, which differ by the ones considered by Dirac, is, up to day, lacking. The analysis of the dynamics of the one-dimensional and two-dimensional relativistic oscillators of the second tensor rank, is reported. A comparison with the case of scalar and vector relativistic oscillators, described by a regular Lagrangian, is accomplished. Some equilibrium statistical properties of the relativistic oscillators are also analysed.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:214:y:1995:i:1:p:68-81

DOI: 10.1016/0378-4371(94)00250-W

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