In quantum mechanics, three fundamental objects are commonly used to solve Schrodinger equation: wave functions, density matrices, and Green's functions. Green's function methods are at the center of materials and molecular science research both in physics and chemistry. They include methods such as the Random Phase Approximation (RPA), the GW method, and Bethe-Salpeter methods that can be used to study semiconducting solar cells materials. They also include the Dynamical Mean Field Theory (DMFT), which is a standard tool for studying correlated materials including superconducing oxide materials. While significant progress has been achieved separately in physics and chemistry on numerical Green's function methods, these communities have different strengths and different foci: Physicists mostly study low energy effective models where they are interested in phases and phase boundaries but rarely in quantitatively accurate calculations. Chemists mostly study small molecular systems, where they reach very high quantitative (ï¿½chemicalï¿½) accuracy.
This workshop aims to stimulate a dialog and learning between these two communities. We would like to discuss common challenges and seek common solutions. Additionally, it is our goal to initiate a broad discussion about possible ways of quantitatively solving the problem of realistic weakly and strongly correlated solids, and challenge both communities to think about the numerical progress that has to be made in order to reach this goal.