Search

2 Feb 2015: We shall demonstrate the equivalence with the Pauli matrix algebraexplicitly in a companion paper [24], but here it suffices to note that the matrices. ... From this basis set of vectors we construct the 16 (= 24) geometric elements ofthe STA:.

5 Feb 2015: The STA formalism can also be employed in the study ofnonlinear spinor equations [24, 25] and semi-classical models. ... J. Math. Phys., 33(5):1831, 1992. [24] W.I. Fushchich and R.Z. Zhdanov.

5 Feb 2015: B Q) Q = 2(QB B) (4.24). 11. for any bivector B. ... eiSn eiRn , (5.24)eiSn Rnei , (5.25). 18. and the latter combines with Eq.

5 Feb 2015: 4.33). 17. By applying (4.31) to (4.33) and using (4.24), we find that. ... Our final results concern the functional derivative of the inverse function, givenby (2.24).

5 Feb 2015: 24. should look at the equations of motion for the fiducial frame σi = h1(ei),. ... andu = g1(u), (4.24). are conserved. This follows from. u = Enω (4.25)u = Enω.

5 Feb 2015: For these we find:. p = µρσφ,mρv = µρσφ 12 (ρ)σ3, (3.24). ... r, (5.24). and generate ψ(x) by using the relation. ψ = φ Eφiσ3.

14 Feb 2015: 24). We now wish to extend this argument to a multivector-valued L. ... 13] D. Hestenes. Multivector calculus. J. Math. Anal. Appl., 24:313, 1968.

14 Feb 2015: Φ = αβiσ2, (3.24). and set E m for all momentum components of the non-relativistic wavepackets,we recover the expected result that the ratio Pu/Pd of the probabilities of ... We take ψ0 to be of the form (3.2), with u = uσ3 and Φ given by equation

14 Feb 2015: P = 12ψσ1ψ̃ = κ(γ1(γ0 γ3))κ̃. (24). Since σ1 anticommutes with iσ3, while γ0 commutes, P responds at double rateto phase rotations κ 7 κeiσ3θ, whilst the flagpole is unaffected.

14 Feb 2015: The vector. X xx0(τ) (24). is the separation vector down the light-cone, joining the observer to the intersectionpoint with the charge’s worldline.