an:02142225
Zbl 1081.81047
Novaes, Marcel; Hornos, Jos?? Eduardo M.
Quantum nonintegrability and the classical limit for usp(4) systems
EN
Ann. Phys. 315, No. 2, 453-466 (2005).
00113934
2005
j
81Q50 81R12 70H05
Quantum chaos; Algebraic models; Classical limit; Coherent states
Summary: We investigate the transition from integrability to chaos in a system built of usp(4) elements, both in the quantum case and in its classical limit, obtained using coherent states. This algebraic Hamiltonian consists in an integrable term plus a nonlinear perturbation, and we see that the level spacing distribution for the quantum system is well approximated by the Berry-Robnik-Brody distribution, and accordingly the classical limit displays mixed dynamics.