Quantum Monte Carlo methods in chemistry

We report on recent progress in the development of quantum Monte Carlo methods, including variational, diffusion, and path-integral Monte Carlo. The basics of these methods are outlined together with descriptions of trial functions, treatment of atomic cores, and remaining problems, such as fixed-node errors. The recent results for atoms, molecules, clusters, and extended systems are presented. The advantages, achievements, and perspectives demonstrate that quantum Monte Carlo is a very promising approach for calculating properties of many-body quantum systems.