Classical Physics


Equation of Motion of a Particle in a Potential Proportional to Square of Second Derivative of Position W.r.t Time in Its Lagrangian

Authors: Faisal Amin Yassein Abdelmohssin

I constructed a Lagrangian functional and equation of motion of a classical particle in a potential that is proportional to square of second derivative of its position with respect to time. Solution of equation of motion is identical to the solution of the equation of motion of the conventional simple harmonic oscillator in a potential that is proportional to square of its position.

Comments: 7 Pages.

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Submission history

[v1] 2017-08-28 07:34:18

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