I. P. Pavlotsky, G. Vilasi
Some Peculiar Properties of the Relativistic Oscillator in the Postgalilean Approximation
The paper is published: Physica A 214 (1995) 68-81

MSC:

70D10 Lagrangian dynamics

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 cases of scalar and vector relativistic oscillators,
described by a regular Lagrangian, is accomplished.
Some equilibrium statistical properties of the relativistic oscillators
are also analysed.


Keywords: relativistic oscillator, Lagrangian