Quantum chaos and Hénon-Heiles model: Dirac's variational approach with Jackiw-Kerman function
arXiv:2204.11330 · doi:10.1142/S0217751X2350029X
Abstract
A simple semiclassical Hénon-Heiles model is constructed based on Dirac's time-dependent variational principle. We obtain an effective semiclassical Hamiltonian using a Hatree-type two-body trial wavefunction in the Jackiw-Kerman form. Numerical results show that quantum effects can in fact induce chaos in the non-chaotic regions of the classical Hénon-Heiles model.
16 pages, 46 figures. Presentation improved, and new references added