Full Configuration Interaction Model for 1-D Quantum System

Sammanfattning: The many-body problem is one of the most challenging problems in physics due to the complexity emerging from the interactions of many quantum particles. Since the advent of computers with increasing power, computational methods have been very successful in providing insight and precise solutions to this problem. We give an introduction to two canonically used methods, density functional theory and configuration interaction, providing the example of a valence space nuclear shell model calculation. In this work, we developed a program that applies the full configuration interaction method to a general 1-D quantum system with success, providing insight into the dynamics of a many-body system in different conditions of potential, interaction and number of particles.