A New Relativistic Extension of the Harmonic Oscillator Satisfying an Isochronicity Principle
- Daniel de la Fuente 1
- Pedro J. Torres 1
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1
Universidad de Granada
info
ISSN: 1575-5460
Datum der Publikation: 2017
Ausgabe: 16
Nummer: 3
Seiten: 579-589
Art: Artikel
Andere Publikationen in: Qualitative theory of dynamical systems
Zusammenfassung
A new relativistic extension of the one-dimensional simple harmonic oscillator is presented. The equations of motion express the proportionality between the relativistic force acting on a particle and the distance to the oscillation center measured by a comoving observer with the particle, instead of the distance measured by a certain inertial observer. The resulting trajectory is really harmonic, i.e., the ‘proper period’ of the oscillations does not depend on the amplitude, against the anharmonicity of the standard relativistic harmonic oscillator.