Results 191 to 200 of about 1,518 (237)

Algebra of Dirac Bilinears

Journal of Mathematical Physics, 1964
All of the possible quadratic relations among the Dirac bilinear covariants which one may construct using both the usual bispinor and its charge-conjugate are given. Many interesting purely algebraic results are found for a general Dirac field.
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Algebra of the Dirac-Matrices

Proceedings of the Indian Academy of Sciences - Section A, 1945
Not ...
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Complexes of Dirac operators in Clifford algebras

Mathematische Zeitschrift, 2002
In this paper the following is studied: The Cauchy-Fueter operator in the quaternionic case was obtained by the Moisil-Theodorescu product (the case of the Dirac operator in the Clifford algebra \({\mathcal C}_3\). Thus it is motivated the choice of Dirac operators in the Clifford algebra \({\mathcal C}_m\) only in the case when \(m>4\) or \(m=4 ...
SABADINI, IRENE MARIA   +3 more
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Computer algorithms for dirac algebra

Journal of Computational Physics, 1969
We present a collection of algorithms written in ALGOL 60 to illustrate the manipulation techniques used in machine language programs designed for symbolic evaluation of algebraic expressions. Such algorithms have been used by theoretical physicists in quantum electrodynamics calculations.
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Dirac equation and Clifford algebra

Journal of Mathematical Physics, 1994
The Dirac equation is rewritten in the framework of a Clifford algebra, revealing some new features, of which the most interesting is the U(1)×SU(2) symmetry of the corresponding Lagrangian.
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Pauli’s identities in the Dirac algebra

Proceedings of the Indian Academy of Sciences - Section A, 1945
It is shown in this paper that by choosing suitable forms for 4×4 matrices as products of Dirac matrices and matrices of rank unity (i.e., products of 4×1 and 1×4 matrices), and expressing them as linear combinations of the sixteen elementsγ A of the basis of the Dirac algebra, one can derive the generalized identities of Pauli which ...
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Lie algebras for the Dirac–Clifford ring

Journal of Mathematical Physics, 1993
It is shown in general that the Dirac–Clifford ring formed by the Dirac matrices and all their products, for all even and odd space–time dimensions D, span the commutation algebras su(2D/2) for even D and su(2(D−1)/2)⊕su(2(D−1)/2) for odd D. Some physical consequences of these results are discussed herein.
Mignaco, Juan Alberto   +1 more
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