QUANTUM CHAOS IN VIBRATIONAL NUCLEI: THE GREEN FUNCTION APPROACH

- th / 9 51 00 12 v 1 6 O ct 1 99 5 Quantum Chaos in Vibrational Nuclei : the Green Function Approach

We show that the collective vibrational model of atomic nuclei displays quantum chaos. To avoid the problems related to the tunneling effects, a Green function deterministic numerical method has been used to evaluate the energy levels.

Quantum Vibrational Chaos in the Arhci Van Der Waals Molecule

Quantum mechanical ro-vibrational calculations are presented for the ArHC1 van der Waals complex using Hutson and Howard's empirical M5 potential. Analysis of the nodal structures, second differences and overlapping avoided crossings suggests that the higher bound states of ArHC1 are chaotic. This chaos is made evident by perturbing the angular part of the kinetic energy term, e.g. by isotopic ...

New Results on Quantum Chaos in Atomic Nuclei

In atomic nuclei, ordered and chaotic states generally coexist. In this paper the transition from ordered to chaotic states will be discussed in the framework of roto–vibrational and shell models. In particular for 160Gd, in the roto–vibrational model, the Poincarè sections clearly show the transition from order to chaos for different values of rotational frequency. Furthermore, the spectral st...

Green Function on the Quantum Plane

Green function (which can be called the q-analogous of the Hankel function) on the quantum plane E q = Eq(2)/U(1) is constructed.

Space-Time Approach to Quantum Chaos