6 citations · 13 across the 10 of their papers we have counts for
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Poisson commutator-anticommutator brackets for ray tracing and longitudinal imaging via geometric algebra
Quirino M. Sugon, Daniel J. McNamara
We use the vector wedge product in geometric algebra to show that Poisson commutator brackets measure preservation of phase space areas. We also use the vector dot product to defin…
A geometric algebra reformulation of 2x2 matrices: the dihedral group D_4 in bra-ket notation
Quirino M. Sugon, Carlo B. Fernandez, Daniel J. McNamara
We represent vector rotation operators in terms of bras or kets of half-angle exponentials in Clifford (geometric) algebra Cl_{3,0}. We show that SO_3 is a rotation group and we de…
Taxonomy of Clifford Cl_{3,0} subgroups: Choir and band groups
Quirino M. Sugon, Daniel J. McNamara
We list the subgroups of the basis set of Cl_{3,0} and classify them according to three criteria for construction of universal Clifford algebras: (1) each generator squares to +1 o…