The Wigner distribution is either of two things:
- Wigner semicircle distribution - A probability function used in mathematics (Eugene Wigner)
- Wigner quasi-probability distribution - A distribution in phase space encoding, in a convenient representation, properties of quantum-mechanical wave-functions. Strictly speaking, it is the Wigner map of the density matrix in the Weyl correspondence. In signal analysis, it is known as the Wigner-Ville distribution. It is useful in quantum statistical mechanics, quantum chemistry, optics, quantum computing etc. (Eugene Wigner, Hermann Weyl, J. Ville)
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