Quantum Mechanics in 1D

Systems in one-dimension provide a perfect test bed for understanding the weird aspects of quantum mechanics. In this module, we leverage numerical approaches to obtain exact solutions for arbitrary 1D systems and try to understand them. In the process, we will encounter for the first time an array of core concepts common to all numerical studies — What does convergence mean? What is a basis set? Does the choice of basis set matter in one-dimension? How do we simulate dynamics?