The present project is to be viewed as an extension of the HCM-project entitled: "Atoms and Molecules in strong external fields" (Contract No. ERBCHBICT941122). There are three main activities within this project which complete the previous HMC-project:
(1) An analysis of the numerical results obtained for the energy spectrum of the hydrogen molecule and the helium atom in a strong magnetic field. Calculation of the energy spectrum for higher excited states and performance of an energy level statistics to look for the transition from regularity to chaos.
(2) Quantum mechanical treatment of a dynamical model systems with coupling between the center of mass and internal relative motion in an external magnetic field.
(3) Further development of a new method (turning point analysis) to analyse fully developed chaotic dynamics. Extension to a semiclassical treatment of complex systems. Application of this method to dynamical systems resulting from the non-perturbative sector of non abelian gauge theories.