# Dirac equation

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Dirac Equation

The equation was discovered in the late 1920s by physicist Paul Dirac. It remains highly influential. It brought together two of the most important ideas in science: quantum mechanics, which describes the behaviour of tiny objects; and Einstein's special theory of relativity, which describes the behaviour of fast-moving objects. As a result, Dirac's equation describes how particles like electrons behave when they travel close to the speed of light.

Plain Dirac for body text (Credit: Stellario Cama). The Dirac equation predicted the existence of antimatter

Feynmann Diagram Gluon Radiation.svg

The Dirac Equation describes fields corresponding to elementary spin-½ particles (such as the electron) as a vector of four complex numbers (a bispinor), in contrast to the Schrödinger equation which described a field of only one complex value.

The equation was discovered in the late 1920s by physicist Paul Dirac. It remains highly influential. It brought together two of the most important ideas in science: quantum mechanics, which describes the behaviour of tiny objects; and Einstein's special theory of relativity, which describes the behaviour of fast-moving objects. As a result, Dirac's equation describes how particles like electrons behave when they travel close to the speed of light.

Paul Adrien Maurice Dirac, (8 August 1902 – 20 October 1984) was an English theoretical physicist who made fundamental contributions to the early development of both quantum mechanics and quantum electrodynamics. Among other discoveries, he formulated the Dirac equation, which describes the behaviour of fermions, and predicted the existence of antimatter. Dirac shared the Nobel Prize in Physics for 1933 with Erwin Schrödinger, "for the discovery of new productive forms of atomic theory."

Feynman diagram

Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schrodinger and Dirac Equations ...

BBC - Earth - The most beautiful equation is… The Dirac equation http://www.bbc.com/earth/story/20160120-the-most-beautiful-equation-is-the-dirac-equation

Physicists Trace Origin of Electromagnetic Interaction to Dirac Equation - http://scienceblog.com/80611/physicists-trace-origin-of-electromagnetic-interaction-to-dirac-equation/

The quantum mechanical description of the world is incomplete as the Schrödinger equation is not Lorentz invariant and therefore fails to describe relativistic particles. Including special relativity into the frame of quantum mechanics leads to Dirac's equation which is Lorentz invariant but has yet another problem.

The Dirac Equation

The Dirac Equation, foundation of our understanding of fermions, from which all matter is made.

PaulDirac equation. One of my heros.