Quantum chaos and H\'enon-Heiles model: Dirac's variational approach with Jackiw-Kerman function
Quantum Physics
2024-05-22 v3 Chaotic Dynamics
Abstract
A simple semiclassical H\'enon-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 H\'enon-Heiles model.
Cite
@article{arxiv.2204.11330,
title = {Quantum chaos and H\'enon-Heiles model: Dirac's variational approach with Jackiw-Kerman function},
author = {C. -L. Ho and C. -I. Chou},
journal= {arXiv preprint arXiv:2204.11330},
year = {2024}
}
Comments
16 pages, 46 figures. Presentation improved, and new references added