Order:
  1.  16
    A Vector Product Formulation of Special Relativity and Electromagnetism.Charles P. Poole, Horacio A. Farach & Yakir Aharonov - 1980 - Foundations of Physics 10 (7-8):531-553.
    The vector product method developed in previous articles for space rotations and Lorentz transformations is extended to the cases of four-vectors, anti-symmetric tensors, and their transformations in Minkowski space. The electromagnetic fields are expressed in “six-vector” form using the notationH +iE, and this vector form is shown to be relativistically invariant. The wave equations of electromagnetism are derived using these vector products. The following three equations are deduced, which summarize electrodynamics in a compact form: (1) Maxwell's four equations expressed as (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  2.  46
    Pauli-Dirac Matrix Generators of Clifford Algebras.Charles P. Poole & Horacio A. Farach - 1982 - Foundations of Physics 12 (7):719-738.
    This article presents a Pauli-Dirac matrix approach to Clifford Algebras. It is shown that the algebra C2 is generated by two Pauli matrices iσ2 and iσ3; C3 is generated by the three Pauli matrices σ1, σ2, σ3; C4 is generated by four Dirac matrices γ0, γ1, γ2, γ3 and C5 is generated by five Dirac matrices iγ0, iγ1, iγ2, iγ3, iγ5. The higher dimensional anticommuting matrices which generate arbitrarily high order Clifford algebras are given in closed form. The results obtained (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation