Quantum graphs

Quantum graphs are mathematical models used to study how quantum particles, like electrons, move through complex network-like structures. They consist of edges (lines) connected at vertices (points), representing pathways and junctions. These graphs simplify real quantum systems—such as nanostructures or molecules—allowing scientists to analyze wave behavior, energy levels, and transport properties. Quantum graphs help understand phenomena like electron flow and quantum interference in intricate networks, providing insights into nanoscale technology and fundamental physics.