Title: A New Lagrangian of the Simple Harmonic Oscillator
Abstract: A new Lagrangian functional of the simple harmonic oscillator has been proposed. The derived equation of motion is almost same as that of the conventional 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. The new Hamiltonian functional of the simple harmonic oscillator has also been derived.
Publication Year: 2017
Publication Date: 2017-10-01
Language: en
Type: preprint
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