Four-index Integral Transformation in Many-body Perturbation Theory and Electron Propagator to Second Order on GPUs for Confined Atoms

In this work, we present the kernel launched by CUDA in a Graphics Processing Unit (GPU) to evaluate four-index transformation for confined atoms to estimate correlation energy from the many-body perturbation theory and ionization potentials from the electron propagator, both methods to second order. The four-index transformation and the two-electron integrals are computed completely in a GPU.