6 citations · 13 across the 10 of their papers we have counts for
10 papers
Hydrogen atom as a nonlinear oscillator under circularly polarized light: epicyclical electron orbits
Quirino Sugon, Clint Dominic G. Bennett, Daniel J. McNamara
We used Clifford algebra to find the 2D orbit of a hydrogen electron under a Coulomb force and a perturbing circularly polarized electric field of light at angular frequ…
Lorentz Dispersion Law from classical Hydrogen electron orbits in AC electric field via geometric algebra
Uzziel Perez, Angeleene S. Ang, Quirino M. Sugon +2
We studied the orbit of an electron revolving around an infinitely massive nucleus of a large classical Hydrogen atom subject to an AC electric field oscillating perpendicular to t…
Skew ray tracing in a step-index optical fiber using Geometric Algebra
Angeleene Ang, Quirino M. Sugon, Daniel J. McNamara
We used Geometric Algebra to compute the paths of skew rays in a cylindrical, step-index multimode optical fiber. To do this, we used the vector addition form for the law of propag…
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…
Revisiting 2x2 matrix optics: Complex vectors, Fermion combinatorics, and Lagrange invariants
Quirino M. Sugon, Daniel J. McNamara
We propose that the height-angle ray vector in matrix optics should be complex, based on a geometric algebra analysis. We also propose that the ray's 2x2 matrix operators should be…
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…