Quantum Self-Frictional Relativistic Nucleoseed Spinor-Type Tensor Field Theory of Nature

Abstract EN

For study of quantum self-frictional (SF) relativistic nucleoseed spinor-type tensor (NSST) field theory of nature (SF-NSST atomic-molecular-nuclear and cosmic-universe systems) we use the complete orthogonal basis sets of 22s+1-component column-matrices type SF Ψnljmjδ⁎s-relativistic NSST orbitals (Ψδ⁎s-RNSSTO) and SF Xnljmjs-relativistic Slater NSST orbitals (Xs-RSNSSTO) through the ψnlmlδ⁎-nonrelativistic scalar orbitals (ψδ⁎-NSO) and χnlml-nonrelativistic Slater type orbitals (χ-NSTO), respectively.

Here δ⁎=pl⁎ or δ⁎=α⁎ and pl⁎=2l+2-α⁎, α⁎ are the integer (α⁎=α, -∞<α≤2) or noninteger (α⁎≠α, -∞<α⁎<3) SF quantum numbers, where s=0,1/2,1,3/2,2,….

We notice that the nonrelativistic ψδ⁎-NSO and χ-NSTO orbitals themselves are obtained from the relativistic Ψδ⁎s-RNSSTO and Xs-RSNSSTO functions for s=0, respectively.

The column-matrices-type SF Y1jmjls-RNSST harmonics (Y1ls-RNSSTH) and Y2jmjls-modified NSSTH (Y2ls-MNSSTH) functions for arbitrary spin s introduced by the author in the previous papers are also used.

The one- and two-center one-range addition theorems for ψδ⁎-NSO and noninteger n χ-NSTO orbitals are presented.

The quantum SF relativistic nonperturbative theory for Vnljmjδ⁎-RNSST potentials (Vδ⁎-RNSSTP) and their derivatives is also suggested.

To study the transportations of mass and momentum in nature the quantum SF relativistic NSST gravitational photon (gph) with s=1 is introduced.