Abstract
First, a Lagrangian is presented and authenticated for a Relativistic Harmonic Oscillator in 1 + 1 dimensions. It yields a two-component set of equations of motion. The time-component is the missing piece in all previous discussions of this system! The second result is that this Oscillator Langrangian generalizes to Langrangians for a class of particles in 1 + 1 dimensions subject to an arbitrary potential V which is space dependent only.
Highlights
A Lagrangian is presented and authenticated for a Relativistic Harmonic Oscillator in 1 + 1 dimensions. It yields a two-component set of equations of motion
The time-component is the missing piece in all previous discussions of this system! The second result is that this Oscillator Langrangian generalizes to Langrangians for a class of particles in 1 + 1 dimensions subject to an arbitrary potential V which is space dependent only
We present for the first time a Langrangian for the Relativistic Harmonic Os
Summary
A Lagrangian is presented and authenticated for a Relativistic Harmonic Oscillator in 1 + 1 dimensions. 1. Introduction http://creativecommons.org/licenses/by/4.0/ All relativistic particles treated in this paper are in 1 + 1 dimensions with the It yields a two-component set of equations of motion.
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