Antenna_and_atomic_as_well_as_molecular_bonding

This document establishes a formal mathematical equivalence between antenna array coupling in classical radio engineering and molecular orbital bonding in quantum mechanics. It proves that the mutual impedance between two radiating conductors (Z_{21}) and the quantum overlap/resonance integrals (S_{AB}, H_{AB}) share the exact same bilinear functional structure: both calculate the interaction of two separated field distributions mediated by a wave operator kernel. It breaks down the matching mathematics step-by-step—comparing Green's function propagators to Hamiltonian resolvents, mapping near-field reactive storage to nuclear repulsion, and showing how the phase interference that creates directional antenna lobes is mechanically identical to the constructive and destructive interference that creates bonding and antibonding molecular orbitals .