677 phys

Computational Physics

List of topics

-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)