In mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers...

Fermi–Dirac distribution of particles over energy states. It is named after Enrico Fermi and Paul Dirac, each of whom derived the distribution independently...

probability distribution is often represented with Dirac measures, also called one-point distributions (see below), the probability distributions of deterministic...

and Dirac again introduced special symbols for it: K {\textstyle K} in the case of Schrödinger, and h {\textstyle h} in the case of Dirac. Dirac continued...

against any function. Examples of the latter include the Dirac delta function and distributions defined to act by integration of test functions ψ ↦ ∫ U...

mechanics and mathematics, a Boltzmann distribution (also called Gibbs distribution) is a probability distribution or probability measure that gives the...

is its probability distribution is the Dirac delta function), then after time t its location is described by a normal distribution with variance t, which...

In mathematics a Dirac structure is a geometric structure generalizing both symplectic structures and Poisson structures, and having several applications...

above, both the Bose–Einstein distribution and the Fermi–Dirac distribution approaches the Maxwell–Boltzmann distribution in the limit of high temperature...

slope at x = 0. As k goes to infinity, the Weibull distribution converges to a Dirac delta distribution centered at x = λ. Moreover, the skewness and coefficient...

The Wigner quasiprobability distribution (also called the Wigner function or the Wigner–Ville distribution, after Eugene Wigner and Jean-André Ville) is...

magnetic charge started with a paper by the physicist Paul Dirac in 1931. In this paper, Dirac showed that if any magnetic monopoles exist in the universe...

However the pertinent probability distribution in Fermi–Dirac statistics is actually a simple Bernoulli distribution, with the probability factor given...

not square-integrable. Likewise a position eigenstate would be a Dirac delta distribution, not square-integrable and technically not a function at all. Consequently...

Pareto distribution, named after the Italian civil engineer, economist, and sociologist Vilfredo Pareto, is a power-law probability distribution that is...

zero or as α approaches zero the distribution will approach a Dirac delta function δ(x − μ). The stable distribution can be restated as the real part...

Bernoulli distribution with only two distinct values or the sum of two different Dirac delta functions (a bi-delta distribution). The distribution of this...

x = 1. For these limit ratios, the beta distribution becomes a one-point degenerate distribution with a Dirac delta function spike at the right end, x...

the relativistic version is called the Lorentz–Dirac force or collectively known as Abraham–Lorentz–Dirac force. The equations are in the domain of classical...

independently discovered it in 1931. When applied to particle position distributions, it is better known as the Smoluchowski equation (after Marian Smoluchowski)...

product distribution is a probability distribution constructed as the distribution of the product of random variables having two other known distributions. Given...

equilibrium distributions which include the Bose–Einstein distribution, the Fermi–Dirac distribution and the Maxwell–Boltzmann distribution. A black-body...

of many non-interacting fermions. Fermions are particles that obey Fermi–Dirac statistics, like electrons, protons, and neutrons, and, in general, particles...

book) one derives the so-called distribution functions f {\displaystyle f} for various statistics. In the case of Fermi–Dirac statistics and Bose–Einstein...

particle becomes stable as the Lorentzian distribution f sharpens infinitely to 2Mδ(E2 − M2), where δ is the Dirac delta function (point impulse). In general...

original on 28 July 2018. Freese, K. (1986). "Can Scalar Neutrinos or Massive Dirac Neutrinos be the Missing Mass?". Physics Letters B. 167 (3): 295–300. Bibcode:1986PhLB...

particle physics, a fermion is a subatomic particle that follows Fermi–Dirac statistics. Fermions have a half-integer spin (spin ⁠1/2⁠, spin ⁠3/2⁠, etc...

thermodynamic variable of the canonical ensemble, determining the probability distribution of states, is the absolute temperature (symbol: T). The ensemble typically...

particles class described by Bose's statistics, bosons, were named by Paul Dirac. A polymath, he had a wide range of interests in varied fields, including...

of two Dirac neutrinos. In 1938, the concept was challenged as not rotationally invariant and work on the concept was largely discontinued. De Broglie's...