The Agmon Spectral Function for Molecular Hamiltonians with Symmetry Restrictions

W. D. Evans, R. T. Lewis, Y. Saito
1993 Proceedings of the Royal Society A  
In this paper we introduce symmetry considerations into our earlier work, which was concerned with geometric spectral properties of Schrodinger operators including the Y-body operators of quantum mechanics. The point of emphasis is a function introduced by Shmuel Agmon which we have named the Agmon spectral function. We show th a t this function is symmetric for an Y-body Schrodinger operator restricted to a subspace of prescribed symmetry. We then show how it can be used to obtain criteria for
more » ... obtain criteria for the finiteness and infiniteness of bound states of polyatomic systems.
doi:10.1098/rspa.1993.0037 fatcat:sro6uqar4bb4zdf2sayrvbneaq