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Inventi Impact: Engineering Mathematics

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  • Inventi:eem/33249/20
    Noncovariant Lagrangians are Presented Which Yield Two-Component Equations of Motion for a Class of Relativistic Mechanical Systems in 1 + 1 Dimensions Including the Harmonic Oscillator
    Research 2021 : January - March
    Robert L Anderson

    First, a Lagrangian is presented and authenticated for a Relativistic Harmonic\nOscillator in 1 + 1 dimensions. It yields a two-component set of equations of\nmotion. The time-component is the missing piece in all previous discussions\nof this system! The second result is that this Oscillator Langrangian generalizes\nto Langrangians for a class of particles in 1 + 1 dimensions subject to an\narbitrary potential V which is space dependent only.

    How to Cite this Article
    Attribution/ CC Compliant Citation:Anderson, Robert L. \"Noncovariant Lagrangians Are Presented Which Yield Two-Component Equations\nof Motion for a Class of Relativistic Mechanical Systems in 1+ 1 Dimensions Including the Harmonic Oscillator.\" Applied Mathematics 11.9\n(2020): 917-921.\nhttps://doi.org/10.4236/am.2020.119059\nhttp://creativecommons.org/licenses/by/4.0/\nSome formatting elements, header, footer, logos, dates and pagination were modified while adapting this article.
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