Dirac operator

The Dirac operator is a fundamental mathematical tool in quantum physics used to describe particles like electrons that have spin and obey relativistic rules. It combines aspects of quantum mechanics and special relativity to analyze how these particles behave and interact with fields like electromagnetism. Mathematically, it acts on functions called spinors and helps determine particle properties such as energy levels and movement. In essence, the Dirac operator provides a precise way to study the complex behavior of spinning, fast-moving particles within the framework of modern physics.