Classical Physics


A New Lagrangian of the Simple Harmonic Oscillator Revisited

Authors: Faisal Amin Yassein Abdelmohssin

A better and symmetric new Lagrangian functional of the simple harmonic oscillator has been proposed. The derived equation of motion is exactly the same as that derived from the first variation’s Lagrangian functional. The equation of motion is derived from Euler-Lagrange equation by performing partial derivatives on the Lagrangian functional of the second variation of the calculus of variations. Although the better new Hamiltonian functional is off that derived from the first variation by a factor of two, it symmetric than in the previous paper.

Comments: 6 Pages.

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Submission history

[v1] 2017-10-08 06:45:37

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