Lennard-Jones
$$U(x)=\frac1{x^{12}}-\frac1{x^6}$$ The graphs below show the potential, and the phase space of a particle submitted to the Lennard-Jones potential
- for $E\in(-1/4,0)$: oscillations
- for $E\in(0,\infty)$: asymptotically free
- for $E=0$: separatrix: the interaction has an infinite range.
Energy: E=-0.5