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

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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.

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quantumphysics, physics, dirac, equation

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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.

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

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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.

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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.

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