See L. Fermi, Atoms in the Family (1954, repr. 1988); biography by E. Segrè (1970).
In quantum mechanics, one of two possible ways (the other being Bose-Einstein statistics) in which a system of indistinguishable particles can be distributed among a set of energy states. Each available discrete state can be occupied by only one particle. This exclusiveness accounts for the structure of atoms, in which electrons remain in separate states rather than collapsing into a common state. It also accounts for some aspects of electrical conductivity. This theory of statistical behaviour was developed first by Enrico Fermi and then by P.A.M. Dirac (1926–27). The statistics apply only to particles such as electrons that have half-integer values of spin; the particles are called fermions.
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(born Sept. 29, 1901, Rome, Italy—died Nov. 28, 1954, Chicago, Ill., U.S.) Italian-born U.S. physicist. As a professor at the University of Rome, he began the work, later fully developed by P.A.M. Dirac, that led to Fermi-Dirac statistics. He developed a theory of beta decay that applies to other reactions through the weak force, which was not improved until 1957, when the weak force was found not to conserve parity. He discovered neutron-induced radioactivity, for which he was awarded a 1938 Nobel Prize. After receiving the award in Sweden, he never returned to fascist Italy but instead moved directly to the U.S., where he joined the faculty of Columbia University and soon became one of the chief architects of practical nuclear physics. A member of the Manhattan Project, he was an important figure in the development of the atomic bomb; in 1942 he directed the first controlled nuclear chain reaction. He received the Congressional Medal of Merit in 1946. In 1954 he became the first recipient of the U.S. government's Enrico Fermi Award. Element number 100, fermium, was named in his honour.
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(born Sept. 29, 1901, Rome, Italy—died Nov. 28, 1954, Chicago, Ill., U.S.) Italian-born U.S. physicist. As a professor at the University of Rome, he began the work, later fully developed by P.A.M. Dirac, that led to Fermi-Dirac statistics. He developed a theory of beta decay that applies to other reactions through the weak force, which was not improved until 1957, when the weak force was found not to conserve parity. He discovered neutron-induced radioactivity, for which he was awarded a 1938 Nobel Prize. After receiving the award in Sweden, he never returned to fascist Italy but instead moved directly to the U.S., where he joined the faculty of Columbia University and soon became one of the chief architects of practical nuclear physics. A member of the Manhattan Project, he was an important figure in the development of the atomic bomb; in 1942 he directed the first controlled nuclear chain reaction. He received the Congressional Medal of Merit in 1946. In 1954 he became the first recipient of the U.S. government's Enrico Fermi Award. Element number 100, fermium, was named in his honour.
Learn more about Fermi, Enrico with a free trial on Britannica.com.
Tree Feynman diagrams describe the interaction remarkably well. Unfortunately, loop diagrams cannot be calculated reliably because Fermi's interaction is not renormalizable. The solution is to replace the four-fermion contact interaction by a more complete theory (see UV completion) — an exchange of a W boson or a Z boson as explained in the electroweak theory. The electroweak theory is renormalizable.
Before the electroweak theory and the Standard Model were constructed, George Sudarshan and Robert Marshak, and also independently Richard Feynman and Murray Gell-Mann were able to determine the correct tensor structure (vector minus axial vector, V−A) of the four-fermion interaction.
Here is the coupling constant of the weak interaction, and is the mass of the W boson.