- #1
LagrangeEuler
- 717
- 20
Homework Statement
[tex]H=\sum^N_{i=1}(\frac{p_i^2}{2m}+\frac{1}{2}(x_{i+1}-x_i)^2+(1-\cos(2\pi x_i))[/tex]
Homework Equations
Hamilton equation of motion I suppose
##\dot{q}=\frac{\partial H}{\partial p}##
##\dot{p}=-\frac{\partial H}{\partial q}##[/B]
The Attempt at a Solution
If particles are identical then
##\dot{p}=m \dot{x}##
So if I understand well I will get from here system of equations
##\dot{p_1}=-\frac{\partial H}{\partial x_1}##
If I take for example m=1, then
##\dot{x_1}=-\frac{\partial H}{\partial x_1}##
Is this correct?