We describe a structural wave-packet layout in real solid state R3×SO(3) configuration space of the SU(3) Lie algebra. Its infinitesimal ‘straight line of length equaling zero’ partial derivative root vectors hybridize with the parallelepiped outline of the R3 frame into a cyclically expanding isometric vector matrix organization of a continuous one octahedron/two tetrahedrons helical trajectory of SO(3) symmetry. Thus enclosed by its dual scaffold it faithfully outlines the atomic constitution and the periodic table when following the systematic close-packing of its Euclidean space chaperon.
The issue of how superconductivity originate in the CuO 2 planes believed to be crucial to understanding the high T c superconducting cuprates is still an going debate. In the wake of recent experimental observations of the the Zhang-Rice singlet (ZRS), its formation and propagation need to be revisited especially by using a simple approach almost at a phenomenological level. Within a highly simplified correlated variational approach (HSCVA) in this paper, a new formation of the ZRS as constituting the ground state of a single-band t-J model of the CuO 2 planes is developed.This formation is then used to demonstrate how the ZRS can be propagated as a probable Cooper channel in the CuO 2 planes.
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