Mechanics → Hamiltonian Mechanics → Worked Example
Worked Example
Problem:
Find Hamilton’s equations for SHM.
Solution
$$ H = \frac{p^2}{2m} + \frac{1}{2}kx^2 $$
$$ \dot{x} = \frac{p}{m}, \quad \dot{p} = -kx $$
Problem:
Find Hamilton’s equations for SHM.
$$ H = \frac{p^2}{2m} + \frac{1}{2}kx^2 $$
$$ \dot{x} = \frac{p}{m}, \quad \dot{p} = -kx $$