Demos.HenonHeiles.Main

WavePacket demo example: Henon-Heiles system

The Henon-Heiles system is a prototypical example of a multidimensional anharmonic system. Originating from astrophysics, it has become a prominent test system to study the transition from regular to chaotic (classical or quantum) dynamics .

with a minimum at R=0 and three saddle points at R=A/λ with energy V=A³/(6λ²).

Quasi-bound states in two dimension

Classical bound motion in the two-dimensional Henon-Heiles system is only possible for energies not exceeding that of the saddle points. Corresponding quantum mechanical "quasi-bound" states can be detected using the Fourier grid Hamiltonian algorithm implemented in WavePacket. Note, however, that these states are resonances which can decay via tunneling through the barriers at the saddles. Learn more