A study of mathematical techniques and numerical computing methods used to solve problems of interest in physics. Topics include numerical solution of selected ordinary and partial differential equations (e.g., the wave equation, Laplace's equation, Schrödinger's equation), Monte Carlo simulations, and chaotic dynamics. Three hours lecture per week.
An introduction to the use of wave functions, and their probabilistic interpretation, to characterize particles. Solutions of Schrödinger's wave equation are studied in one dimension (particle in a box, harmonic oscillator) and three dimensions (hydrogen atom). Operator methods and perturbation techniques are also introduced. Additional topics may include multi-electron atoms and/or an introduction to solid-state physics. Three hours lecture per week.