OFFSET
0,1
COMMENTS
Group sum matrix of an SO(4) type ( so(4)) of matrix group. Used in four-dimensional electromagnetic theory for a scaled field tensor such that: T(energy density) =s*M.s*MatrixPower[M,-1]/4 where s is the field scale constantSqrt[4*c*hbar^2/(3*e^4)].
MATHEMATICA
(* SO(4) Determinant one 4 X 4 Markov sequence *) (* by Roger L. Bagula, Sep 09 2004 *) Clear[M, A, x] digits=Floor[21*3/4]; M={{0, 1, -1, 1}, {-1, 0, 1, -1}, {1, -1, 0, 1}, {-1, 1, -1, 0}}; Det[M] A[n_]:=M.A[n-1]; A[0]:={{0, 1, 1, 2}, {1, 1, 2, 3}, {1, 2, 3, 5}, {2, 3, 5, 8}}; (* flattened sequence of 4 X 4 matrices made with an SO(4) Determinant one recurrence*) b=Flatten[Table[M.A[n], {n, 1, digits}]] Floor[Abs[b]] ListPlot[b, PlotJoined->True]
CROSSREFS
KEYWORD
nonn
AUTHOR
Roger L. Bagula, Sep 09 2004
STATUS
approved