Fermi–Dirac Distribution

	Fermi–Dirac Distribution Fermi–Dirac may refer to: * Fermi–Dirac statistics or Fermi–Dirac distribution * Fermi–Dirac integral (other) Complete Fermi–Dirac integral Incomplete Fermi–Dirac integral See also * Fermi (other) Enrico Fermi (1901–1954) was an Italian physicist who created the world's first nuclear reactor. Fermi or Enrico Fermi may also refer to: * Fermi (crater), a large lunar impact crater * Fermi (microarchitecture), a microarchitecture developed by ... * Dirac (other) {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Fermi–Dirac Statistics Fermi–Dirac statistics (F–D statistics) is a type of quantum statistics that applies to the physics of a system consisting of many non-interacting, identical particles that obey the Pauli exclusion principle. A result is the Fermi–Dirac distribution of particles over energy states. It is named after Enrico Fermi and Paul Dirac, each of whom derived the distribution independently in 1926 (although Fermi derived it before Dirac). Fermi–Dirac statistics is a part of the field of statistical mechanics and uses the principles of quantum mechanics. F–D statistics applies to identical and indistinguishable particles with half-integer spin (1/2, 3/2, etc.), called fermions, in thermodynamic equilibrium. For the case of negligible interaction between particles, the system can be described in terms of single-particle energy states. A result is the F–D distribution of particles over these states where no two particles can occupy the same state, which has a considerable effec ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Fermi–Dirac Integral (other) Fermi–Dirac integral may refer to: * Complete Fermi–Dirac integral * Incomplete Fermi–Dirac integral In mathematics, the incomplete Fermi– Dirac integral for an index ''j'' is given by :F_j(x,b) = \frac \int_b^\infty \frac\,dt. This is an alternate definition of the incomplete polylogarithm In mathematics, the Incomplete Polylogarithm function ... {{mathematical disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Complete Fermi–Dirac Integral In mathematics, the complete Fermi–Dirac integral, named after Enrico Fermi and Paul Dirac, for an index ''j '' is defined by :F_j(x) = \frac \int_0^\infty \frac\,dt, \qquad (j > -1) This equals :-\operatorname_(-e^x), where \operatorname_(z) is the polylogarithm. Its derivative is :\frac = F_(x) , and this derivative relationship is used to define the Fermi-Dirac integral for nonpositive indices ''j''. Differing notation for F_j appears in the literature, for instance some authors omit the factor 1/\Gamma(j+1). The definition used here matches that in thNIST DLMF Special values The closed form of the function exists for ''j'' = 0: :F_0(x) = \ln(1+\exp(x)). For ''x = 0'', the result reduces to F_j(0) = \eta(j+1), where \eta is the Dirichlet eta function. See also * Incomplete Fermi–Dirac integral * Gamma function * Polylogarithm In mathematics, the polylogarithm (also known as Jonquière's function, for Alfred Jonquière) is a special functi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Incomplete Fermi–Dirac Integral In mathematics, the incomplete Fermi–Dirac integral for an index ''j'' is given by :F_j(x,b) = \frac \int_b^\infty \frac\,dt. This is an alternate definition of the incomplete polylogarithm. See also * Complete Fermi–Dirac integral In mathematics, the complete Fermi–Dirac integral, named after Enrico Fermi and Paul Dirac, for an index ''j '' is defined by :F_j(x) = \frac \int_0^\infty \frac\,dt, \qquad (j > -1) This equals :-\operatorname_(-e^x), where \operatornam ... External links GNU Scientific Library - Reference Manual Special functions {{mathanalysis-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Fermi (other) Enrico Fermi (1901–1954) was an Italian physicist who created the world's first nuclear reactor. Fermi or Enrico Fermi may also refer to: * Fermi (crater), a large lunar impact crater * Fermi (microarchitecture), a microarchitecture developed by Nvidia * Fermi (supercomputer), located at CINECA in Italy * Fermi (Turin Metro), a rapid transit station in Italy * Fermi (unit), a unit of length in nuclear physics equivalent to the femtometre * RA-1 Enrico Fermi, a research reactor in Argentina * Fermi Gamma-ray Space Telescope * Enrico Fermi Institute, Chicago, Illinois, US * Fermi Linux, distributions produced by Fermilab * FERMI, a free-electron laser at the ELETTRA research centre People with the surname * Laura Fermi (1907–1977), Enrico Fermi's wife See also * Enrico Fermi Award * Fermi–Dirac (other) * ''Fermi Paradox'' (album), an album by Tub Ring * Fermi–Pasta–Ulam–Tsingou problem * Fermi problem * Fermi–Walker differentiation * Fermi–Walker tra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]