Spinors on Singular Spaces and the Topology of Casual Fermion Systems
He published his research on the "Extended Dirac Equation for Elementary Fermions based on Applying 8-Dimensional
Spinors." DOI: 10.13140/RG.2.2.23994.90569
"directional" states as
spinors, i.e., spin-1/2 states,
With [gamma]-matrices now taken as a four-vector, the object [[gamma].sup.[mu]][[partial derivative].sub.[mu]] is a scalar, the meaning of which is that the Dirac equation will now accommodate two types of
spinors "the usual Dirac bispinor" and a new "scalar-bispinor", i.e.:
Therefore, the second-order differential is transformed to the solvable models with the exact solutions; it means that the relativistic energy eigenvalues can be gotten based on the nonrelativistic models, and also the
spinors will be related to the orthogonal polynomials according to the nonrelativistic models.
Let c : Cl(T[[??].sub.t]) [right arrow] End(S) be the usual representation of the Clifford algebra on the bundle of
spinors S, so that
La teoria de twistores, desarrollada junto a Rindler en los dos volumenes de
Spinors and Space-Time, habilita un espacio-tiempo no-local que explicaria mejor los fenomenos cuanticos de no-localidad tipo Aspect (38).
Then, we will give some facts about restrictions of
spinors on a surface into a 4-dimensional space and deduce the particular
spinor fields with which we will work in the sequel.
In the corresponding double group including
spinors, the CB of the high temperature cubic phase is split by SOC into twofold degenerate states and fourfold degenerate states [41].
[[PSI].sup.[dagger].sub.[eta][??][sigma]] and [[PSI].sub.[eta][??][sigma]] are the Nambu
spinors:
Rasevkii, The theory of
spinors (in Russian), Uspehi Mat.