We review how the identification of gauge theory operators representing
string states in the pp-wave/BMN correspondence and their associated anomalous
dimension reduces to the determination of the eigenvectors and the eigenvalues
of a simple quantum mechanical Hamiltonian and analyze the properties of this
Hamiltonian. Furthermore, we discuss the role of random matrices as a tool for
performing explicit evaluation of correlation functions.Comment: 16 pages, contribution to proceedings of Workshop on Random Geometry,
Krakow, May, 200
