Natural and man-made materials often rely on functional interfaces between inorganic and
organic compounds. Examples include skeletal tissues and biominerals, drug delivery …

The pillars of contemporary theoretical physics are classical mechanics, Maxwell
electromagnetism, relativity, quantum mechanics, and Boltzmann–Gibbs (BG) statistical …

Mineralization of bone and teeth involves interactions between biomolecules and
hydroxyapatite. Associated complex interfaces and processes remain difficult to analyze at …

Dynamics of M× 1-crowdion clusters (M= 1, 2 or 3) and vacancy clusters is analyzed in 2D
triangular lattice with Morse interactions. Topological defects are created in the lattice by …

A translation operator acting in a space with a diagonal metric is introduced to describe the
motion of a particle in a quantum system. We show that the momentum operator and, as a …

This article derives theoretical foundations of force field functional theory (FFFT). FFFT
studies topics related to the functional representation of nonreactive forcefields to achieve …

The simulation of chemical reactions and mechanical properties including failure from atoms
to the micrometer scale remains a longstanding challenge in chemistry and materials …

We consider canonically conjugated generalized space and linear momentum operators x^
q and p^ q in quantum mechanics, associated with a generalized translation operator which …

The book is devoted to the mathematical foundations of nonextensive statistical mechanics.
This is the first book containing the systematic presentation of the mathematical theory and …

We present the quantum and classical mechanics formalisms for a particle with a position-
dependent mass in the context of a deformed algebraic structure (named κ-algebra) …