2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52029We 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.16 pages, contribution to proceedings of Workshop on Random Geometry, Krakow, May, 2003High Energy Physics - Theorytext