Register to reply

Classical Action for Harmonic Oscillator

by DeclanTKatt
Tags: action, classical, harmonic, oscillator
Share this thread:
DeclanTKatt
#1
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

L=(1/2)m([tex]\dot{x}[/tex]2-[tex]\omega[/tex]2x2)

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:
x=sin([tex]\omega[/tex]t)
[tex]\dot{x}[/tex]=[tex]\omega[/tex]cos([tex]\omega[/tex]t)

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 Phys.org
Sapphire talk enlivens guesswork over iPhone 6
Geneticists offer clues to better rice, tomato crops
UConn makes 3-D copies of antique instrument parts

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