Classical Physics

   

A New Lagrangian of the Simple Harmonic Oscillator

Authors: Faisal Amin Yassein Abdelmohssin

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.

Comments: 6 Pages.

Download: PDF

Submission history

[v1] 2017-10-05 05:42:55

Unique-IP document downloads: 13 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus