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In mathematical physics, the Dirac algebra is the Clifford algebra Cl 1 , 3 ( C ) {\displaystyle {\text{Cl}}_{1,3}(\mathbb {C} )} . This was introduced...

Lagrangian to yield Lorentz scalars. The Dirac matrices are a set of four 4×4 matrices forming the Dirac algebra, and are used to intertwine the spin direction...

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...

practice in physics, the Dirac algebra rather than the space-time algebra continues to be the standard environment the spinors of the Dirac equation "live" in...

have spinors and spin connections built upon them, via the Clifford algebra. The Dirac spinor is specific to that of Minkowski spacetime and Lorentz transformations;...

{\displaystyle \langle \psi ,A\psi \rangle } . The Dirac–von Neumann axioms can be formulated in terms of a C*-algebra as follows. The bounded observables of the...

the Dirac delta function, an important tool in physics and other technical fields. A Dirac measure is a measure δx on a set X (with any σ-algebra of subsets...

integral Dirac delta function Dirac comb Dirac measure Dirac operator Dirac algebra 5997 Dirac, an asteroid The various Dirac Medals Dirac (software) DiRAC supercomputing...

related methods, STA and Dirac algebra are both Clifford Cl1,3 algebras, but STA uses real number scalars while Dirac algebra uses complex number scalars...

Fryberger, David (February 1989). "On Generalized Electromagnetism and Dirac Algebra" (PDF). Foundations of Physics. 19 (2): 125–159. Bibcode:1989FoPh.....

career, Dirac made numerous important contributions to mathematical subjects, including the Dirac delta function, Dirac algebra and the Dirac operator...

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

notion of a Clifford algebra. Solutions to the Dirac equation for spinor fields are often called harmonic spinors. Feynman's Dirac operator describes the...

classification allows Dirac spinors and Weyl spinors to be defined in even dimension. In even dimension n, the Clifford algebra Cln(C) is isomorphic to...

Clifford analysis, using Clifford algebras named after William Kingdon Clifford, is the study of Dirac operators, and Dirac type operators in analysis and...

the elements of the subspace spanned by the gamma matrices inside the Dirac algebra. The Lorentz group may be represented by 4×4 matrices Λ. The action...

Bra–ket notation, also called Dirac notation, is a notation for linear algebra and linear operators on complex vector spaces together with their dual space...

complex wave function, back to the geometry of space-time through the Dirac algebra. It also highlights why the Schrödinger equation, although superficially...

from the Clifford algebra to the algebra of complex matrices. The result was used to define the Dirac equation and introduce the Dirac operator. The entire...

usual Dirac equation, a connection which emerges from the close relation between the exterior algebra of differential forms and the Clifford algebra of which...