The paper presents a parameterized approximation scheme for probabilistic inference. The scheme, called Mini-Clustering (MC) extends the partition-based approximation offered by mini-bucket elimination, to tree de-compositions. The beneet of this extension is that all single variable beliefs are computed (approximately) at once, using a two-phase message-passing process along the cluster tree. ...

The effective independent-particle (mean-field) approximation of the Fermi–Hubbard Hamiltonian is described in a many-body basis to develop formal comparison with exact diagonalization full model using small atomic chain as test systems. This allows for development an intuitive understanding shortcomings mean-field and how critical correlation effects are missed this popular approach. descripti...

In present work, we have calculated the electronic properties including density of states and electron density for GaN, InN and InxGa1-xN  in wurtzite phase for x=0.5. The study is based on density functional theory with full potential linearized augmented plane wave method by generalized gradient approximation for calculating electronic properties. In this report we concluded that InxGa1-xN ba...