Numerical Methods for Quantum Many Body Systems

Abstract

Studying many-body quantum systems is paramount for making accurate predictions in condensed matter physics, material science, and physical chemistry. Unfortunately, the many-body Schrodinger equation is not analytic for the vast majority of systems of interest. Our project serves to explore numerical methods for recovering physical results of these computationally demanding systems. Specifically, we present a self-consistent Hartree Fock solver and an N - Dimensional Finite Element program for any bose-einstein statistics.