Effect of Quantum Topology of Kinematic Bonds on the Mechanism of Nanostructuring in Materials

Abstract

The feasibility of mechanisms of nanostructuring in materials by mechanical manipulation with their nanoclusters without breaking the bonds of the condensed states is studied in the context of quantum field chemistry. In the paper, a topological classification of the hierarchy of nanostructural elements of the material is first constructed for evolutionary models of quantum electrodynamics. It is demonstrated that the variational principle of finding the stationary motion states of nanosystems in materials includes independent variations of the kinematic density-wave basis in the physical space of the material and of the projection expansion coefficients in the space of the state vectors of motion. The kinematic bonding conditions must be satisfied to apply the variational principle, namely, the orthonormality of the collective-mode basis and the normalization of the state vectors of motion. The kinematic bonds of quantum-mechanical clusters play the main role in the nanotechnology of the directional synthesis of materials considered as the process of nanoparticle capture, exact positioning, and transport without breaking of the continuity at the micro- and macrolevels of materials.