Geometric spectral properties of N -body Schrödinger operators. II

Abstract

Conditions for the finiteness and for the infiniteness of bound states of N -body Schrödinger operators are presented. These bound states correspond to eigenvalues below the essential spectrum of the operator. Previous work of the authors which extended geometric methods and localization techniques of Agmon are used to establish these conditions. An application to a diatomic system having N electrons and two nuclei is given.