QUANTUM NONLINEAR RESONANCE

To visualize complex structure of the excited states in the many-fermi on system, a profile function of the eigenstate within the quantum pha se space is defined by using the boson expansion theory. When the anha rmonic interaction is sufficiently weak where a corresponding semi-qua ntum system described by the time-dependent Hartree-Fock (TDHF) theory shows isolated resonant structure, there exists a remarkable similari ty between the Poincare section map of the TDHF trajectories and the p rofile functions of the eigenstates. It is shown that these eigenstate s are well understood by using a new concept of quantum nonlinear reso nance. It is also shown that a pair of newly appeared states due to th e quantum resonance is not associated with any dissolution in a number of the good quantum numbers.