Dynamical origin of the quantum chaotic motion of a single particle in thetwo-center shell model

For the single-particle potential surface of the two-center shell model, tw o geometrical quantities which determine the local Liapunov exponents are d erived. It is shows that the appearance of a large positive local Liapunov exponent in a large area of the coordinate space leads to the quantum chaot ic motion of a single particle in heavy nuclei. For both small and large (o r medium) separations of the two centers, the dependence of the quantum cha otic motion on the neck deformation is interpreted from the dynamical point of view.