677 phys: Computational Physics

Introduction to various numerical programming and visualization softwares,Numerical integration (basic integration schemes, stochastic methods for multidimensional integrals), Numerical solutions of differential equations (classical equations of motion, studies of systems with chaotic dynamics, eigenstates of the Schrodinger equation, time evolution of wave-packets in quantum mechanics), Molecular dynamics simulations (basic schemes for classical many-particle dynamics, simulations at fixed energy and temperature), Monte Carlo simulations (the Metropolis algorithm for equilibrium statistical mechanics, studies of the phase transition in the Ising model of magnetism, liquids and gases), Optimization using simulated annealing, Exact diagonalization of quantum systems (ground state and finite-temperature properties of quantum magnets).