Energy $H = \frac{1}{2}(p^2 + q^2)$, for the oscillator $\dot{q} = p$, $\dot{p} = -q$
Terms
| Term | This example | Why |
|---|---|---|
| invariant | ✓ | The energy $H$ is an invariant, because it is constant along each solution. |
| constant function | ✗ | The energy $H$ is not a constant function, because different solutions have different energies. |