quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order operator such as a Laplacian...
9 KB (1,251 words) - 18:47, 29 April 2024
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...
78 KB (13,034 words) - 00:38, 11 October 2024
In mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers...
94 KB (14,058 words) - 07:19, 19 October 2024
Clifford analysis (redirect from Atiyah–Singer–Dirac operator)
study of Dirac operators, and Dirac type operators in analysis and geometry, together with their applications. Examples of Dirac type operators include...
22 KB (3,393 words) - 03:48, 15 November 2022
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...
14 KB (2,014 words) - 21:53, 23 August 2024
Paul Adrien Maurice Dirac OM FRS (/dɪˈræk/; 8 August 1902 – 20 October 1984) was an English mathematical and theoretical physicist who is considered to...
88 KB (9,736 words) - 04:22, 17 October 2024
becomes +iħ preceding the 3-momentum operator. This operator occurs in relativistic quantum field theory, such as the Dirac equation and other relativistic...
14 KB (2,071 words) - 14:44, 24 August 2024
Gamma matrices (redirect from Dirac matrices)
\left\{\gamma ^{0},\gamma ^{1},\gamma ^{2},\gamma ^{3}\right\}\ ,} also called the Dirac matrices, are a set of conventional matrices with specific anticommutation...
61 KB (7,233 words) - 00:33, 24 September 2024
first order operator d + δ {\displaystyle \mathrm {d} +\delta } is the Hodge–Dirac operator. When computing the Laplace–de Rham operator on a scalar function...
20 KB (3,344 words) - 06:20, 21 June 2024
position operator should necessarily be Dirac delta distributions, suppose that ψ {\displaystyle \psi } is an eigenstate of the position operator with eigenvalue...
16 KB (2,617 words) - 10:26, 17 October 2024