Below is a list of things, primarily in the fields of

mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...

and

physics Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge whi ...

, named in honour of Paul Adrien Maurice Dirac.

Physics

Dirac large numbers hypothesis The Dirac large numbers hypothesis (LNH) is an observation made by Paul Dirac in 1937 relating ratios of size scales in the Universe to that of force scales. The ratios constitute very large, dimensionless numbers: some Orders of magnitude (numbe ...

* Dirac monopole * Dirac string * Dirac's string trick * Dirac–Born–Infeld action * Dirac path integral * Dirac coordinates

Quantum physics

Notations

Dirac notation Paul Adrien Maurice Dirac ( ; 8 August 1902 – 20 October 1984) was an English mathematician and Theoretical physics, theoretical physicist who is considered to be one of the founders of quantum mechanics. Dirac laid the foundations for bot ...

* Dirac bracket

Equations and related objects

* Dirac adjoint *

Dirac cone In physics, Dirac cones are features that occur in some electronic band structures that describe unusual electron transport properties of materials like graphene and topological insulators. In these materials, at energies near the Fermi leve ...

** Dirac points * Dirac constant, see

reduced Planck constant The Planck constant, or Planck's constant, denoted by h, is a fundamental physical constant of foundational importance in quantum mechanics: a photon's energy is equal to its frequency multiplied by the Planck constant, and the wavelength of a ...

* Dirac–Coulomb–Breit Hamiltonian *

Dirac equation In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including electromagnetic interactions, it describes all spin-1/2 massive particles, called "Dirac ...

Dirac equation in curved spacetime In mathematical physics, the Dirac equation in curved spacetime is a generalization of the Dirac equation from flat spacetime (Minkowski space) to curved spacetime, a general Lorentzian manifold. Mathematical formulation Spacetime In ful ...

Dirac equation in the algebra of physical space Paul Adrien Maurice Dirac ( ; 8 August 1902 – 20 October 1984) was an English mathematician and theoretical physicist who is considered to be one of the founders of quantum mechanics. Dirac laid the foundations for both quantum electrodyna ...

Nonlinear Dirac equation :''See Ricci calculus and Van der Waerden notation for the notation.'' In quantum field theory, the nonlinear Dirac equation is a model of self-interacting Dirac fermions. This model is widely considered in quantum physics as a toy model of self- ...

** Two-body Dirac equations *

Dirac fermion In physics, a Dirac fermion is a spin-½ particle (a fermion) which is different from its antiparticle. A vast majority of fermions fall under this category. Description In particle physics, all fermions in the standard model have distinct antipar ...

Dirac field In quantum field theory, a fermionic field is a quantum field whose Quantum, quanta are fermions; that is, they obey Fermi–Dirac statistics. Fermionic fields obey canonical anticommutation relations rather than the canonical commutation relation ...

* Dirac gauge * Dirac hole theory * Dirac Lagrangian *

Dirac matrices In mathematical physics, the gamma matrices, \ \left\\ , also called the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the Clifford algebra \ \mathr ...

* Dirac matter * Dirac membrane *

Dirac picture In quantum mechanics, the interaction picture (also known as the interaction representation or Dirac picture after Paul Dirac, who introduced it) is an intermediate representation between the Schrödinger picture and the Heisenberg picture. Wher ...

Dirac sea The Dirac sea is a theoretical model of the electron vacuum as an infinite sea of electrons with negative energy, now called '' positrons''. It was first postulated by the British physicist Paul Dirac in 1930 to explain the anomalous negative-en ...

* Dirac spectrum *

Dirac spinor In quantum field theory, the Dirac spinor is the spinor that describes all known fundamental particles that are fermions, with the possible exception of neutrinos. It appears in the plane-wave solution to the Dirac equation, and is a certain comb ...

Formalisms

Fermi–Dirac statistics Fermi–Dirac 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 part ...

* Dirac–von Neumann axioms

Effects

* Abraham–Lorentz–Dirac force * Kapitsa–Dirac effect

Pure and applied mathematics

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 ...

Incomplete Fermi–Dirac integral In mathematics, the incomplete Fermi-Dirac integral, named after Enrico Fermi and Paul Dirac, for an index j and parameter b is given by :\operatorname_j(x,b) \overset \frac \int_b^\infty\! \frac\;\mathrmt Its derivative is :\frac\operatorname_j( ...

Dirac delta function In mathematical analysis, the Dirac delta function (or distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire real line ...

Dirac comb In mathematics, a Dirac comb (also known as sha function, impulse train or sampling function) is a periodic function, periodic Function (mathematics), function with the formula \operatorname_(t) \ := \sum_^ \delta(t - k T) for some given perio ...

Dirac measure In mathematics, a Dirac measure assigns a size to a set based solely on whether it contains a fixed element ''x'' or not. It is one way of formalizing the idea of the Dirac delta function, an important tool in physics and other technical fields. ...

Dirac operator In mathematics and in quantum mechanics, a Dirac operator is a first-order differential operator that is a formal square root, or half-iterate, of a second-order differential operator such as a Laplacian. It was introduced in 1847 by William Ham ...

Dirac algebra In mathematical physics, the Dirac algebra is the Clifford algebra \text_(\mathbb). This was introduced by the mathematical physicist P. A. M. Dirac in 1928 in developing the Dirac equation for spin- particles with a matrix representation of the ...

Other uses

* 5997 Dirac, an asteroid * The various

Dirac Medal The Dirac Medal or Dirac prize can refer to different awards named in honour of the physics Nobel Laureate Paul Dirac. * Dirac Medal (ICTP), awarded by the Abdus Salam International Centre for Theoretical Physics, Trieste * Dirac Medal (IOP), awar ...

s * Dirac (software) *

DiRAC Paul Adrien Maurice Dirac ( ; 8 August 1902 – 20 October 1984) was an English mathematician and theoretical physicist who is considered to be one of the founders of quantum mechanics. Dirac laid the foundations for both quantum electrodyna ...

supercomputing A supercomputer is a type of computer with a high level of performance as compared to a general-purpose computer. The performance of a supercomputer is commonly measured in floating-point operations per second (FLOPS) instead of million instruc ...

research facility of the

Science and Technology Facilities Council The Science and Technology Facilities Council (STFC) is a United Kingdom government agency that carries out research in science and engineering, and funds UK research in areas including particle physics, nuclear physics, space science and astr ...

*Dirac Science Library, at

Florida State University Florida State University (FSU or Florida State) is a Public university, public research university in Tallahassee, Florida, United States. It is a senior member of the State University System of Florida and a preeminent university in the s ...

*Dirac road,

Bristol Bristol () is a City status in the United Kingdom, cathedral city, unitary authority area and ceremonial county in South West England, the most populous city in the region. Built around the River Avon, Bristol, River Avon, it is bordered by t ...

, ().

References

{{reflist

Dirac Paul Adrien Maurice Dirac ( ; 8 August 1902 – 20 October 1984) was an English mathematician and theoretical physicist who is considered to be one of the founders of quantum mechanics. Dirac laid the foundations for both quantum electrodyna ...

Paul Dirac