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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 both in the finite-dimensional and infinite-dimensional case.
In mathematical physics, the Dirac algebra is the Clifford algebra, (). This was introduced by the mathematical physicist P. A. M. Dirac in 1928 in developing the Dirac equation for spin- 1 / 2 particles with a matrix representation of the gamma matrices , which represent the generators of the algebra.
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 particles", such as electrons and quarks for which parity is a symmetry .
Gamma matrices were introduced by Paul Dirac in 1928. [1] [2] ... The Dirac algebra can be regarded as a complexification of the real algebra Cl 1,3 ...
Paul Adrien Maurice Dirac was born at his parents' home in Bristol, England, on 8 August 1902, [43] and grew up in the Bishopston area of the city. [44] His father, Charles Adrien Ladislas Dirac, was an immigrant from Saint-Maurice, Switzerland, of French descent, [45] who worked in Bristol as a French teacher.
The delta function was introduced by physicist Paul Dirac, and has since been applied routinely in physics and engineering to model point masses and instantaneous impulses. It is called the delta function because it is a continuous analogue of the Kronecker delta function, which is usually defined on a discrete domain and takes values 0 and 1.
The interpretation of the matrices as generators of canonical transformations is due to Paul Dirac. [31] The correspondence between symmetries and matrices was shown by Eugene Wigner to be complete, if antiunitary matrices which describe symmetries which include time-reversal are included.
Dirac (named after Paul Dirac; own notation DIRAC) is a relativistic ab initio quantum chemistry program. The full name is Program for Atomic and Molecular Direct Iterative Relativistic All-electron Calculations, in short PAM DIRAC.