The structure of a(+/-),a(+/-),b(+/-)-type Coulombic systems is characterized by the effective ground-state density of the a-type particles, computed via nonrelativistic quantum mechanics without introduction of the Born-Oppenheimer approximation. A structural transition is observed when varying the relative mass of the aand b-type particles, e.g., between atomic Hand molecular H-2(+). The part...

We review recent progresses in the theoretical studies on the structural, cohesive, mechanic and thermodynamic aspects of interfaces in solids. The technological developments for these studies are reviewed at first. In the next, we summarize the new achievements in the studies on the cohesive and structural properties of metal/metal, ceramic/metal and semiconductor interfaces by ab initio compu...

Uncertainties are a central element in structural analysis and design. But even today they are frequently dealt with in an intuitive or qualitative way only. However, as already suggested 80 years ago, these uncertainties may be quantified by statistical and stochastic procedures. In this contribution it is attempted to shed light on some of the recent advances in the now established field of s...

In this paper Cartesian, direct and strong Cartesian product of hypergraphs are investigated. A new concept named the adjacency function is defined on hypergraphs. This definition leads to distinct adjacency and Laplacian matrices for a hypergraph and makes it possible to express it in an algebraic form. Variable adjacency functions on hypergraphs result in generation of dynamic graph products ...