scholarly journals Dirac algebra of reduced chiral oscillator

2021 ◽  
Author(s):  
Filiz Çağatay Uçgun
Keyword(s):  
Dirac Algebra

Lorentz group and the Dirac algebra

2011 ◽  
pp. 494-506
Author(s):  
Cliff Burgess ◽  
Guy Moore
Keyword(s):  
Lorentz Group ◽  
Dirac Algebra

Factorization of the algebra of particles of half-odd spin

1952 ◽  
Vol 48 (1) ◽  
pp. 110-117
Author(s):  
K. J. Le Couteur
Keyword(s):  
Wave Equation ◽  
Direct Product ◽  
Matrix Algebra ◽  
Relativistic Wave Equation ◽  
Relativistic Wave ◽  
Original Matrix ◽  
Dirac Algebra ◽  
The Matrix ◽  
Integral Spin

AbstractIt is proved that the matrix algebra for any relativistic wave equation of half-odd integral spin can be factorized as the direct product of a Dirac algebra and another, called a ξ-algebra. The structure and representation of ξ-algebras are studied in detail. The factorization simplifies calculations with particles of spin > ½, because the ξ-algebra contains only one-sixteenth as many elements as the original matrix algebra.

A comment on generalized electromagnetism and dirac algebra

1990 ◽  
Vol 3 (1) ◽  
pp. 95-99 ◽  
Author(s):  
Waldyr A. Rodrigues
Keyword(s):  
Dirac Algebra
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