Abstract
We consider a classical Hamiltonian H = Lz+Mz+LxMx, where the components of L and M satisfy Poisson brackets similar to those of angular momenta. There are three constants of motion: H, L2 and M2. By studying Poincaré surfaces of section, we find that the motion is regular when L2 or M2 is very small or very large. It is chaotic when both L2 and M 2 have intermediate values. The interest of this model lies in its quantization, which involves finite matrices only.
Original language | English |
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Pages (from-to) | 433-438 |
Number of pages | 6 |
Journal | Physica D: Nonlinear Phenomena |
Volume | 9 |
Issue number | 3 |
DOIs | |
State | Published - 1 Jan 1983 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics