Classical Action for Harmonic Oscillator

by DeclanTKatt
Tags: action, classical, harmonic, oscillator
DeclanTKatt is offline
Sep2-08, 12:40 AM
P: 3
1. The problem statement, all variables and given/known data
Hello. I am attempting to evaluate the classical action of a harmonic oscillator by using the Euler-Lagrange equations.

2. Relevant equations
The Lagrangian for such an oscillator is


This is easy enough to solve for. The classical action is defined by Scl=[tex]\int[/tex]L dt

3. The attempt at a solution
I know what the answer is, but I am having difficulty achieving it. So far I have used:

Substituted these into the Lagrangian and then integrated, with respect to t, for the classical action. This did not provide the proper results.

Any suggestions would be greatly appreciated. Thanks
Phys.Org News Partner Science news on
Lemurs match scent of a friend to sound of her voice
Repeated self-healing now possible in composite materials
'Heartbleed' fix may slow Web performance

Register to reply

Related Discussions
Harmonic Oscillator Problem (Classical, yet strangely quantum-like) Advanced Physics Homework 3
turning points of a classical harmonic oscillator Introductory Physics Homework 1
Harmonic Oscillator Advanced Physics Homework 2
Please help asap classical mech( harmonic oscillator) Introductory Physics Homework 1