English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Tetrad based equation for Dirac-K\"{a}hler particle is solved in sphericalcoordinates in the flat Minkocski space-time. Spherical solutions of boson type(J =0,1,2,...) are constructed. After performing a special transformation overspherical boson solutions of the Dirac-K\"{a}hler equation, 4 \times 4-matricesU(x) \Longrightarrow V(x), simple linear expansions of the four rows of newrepresentativeof the Dirac--K\"{a}hler field V(x) in terms of spherical fermionsolutions \Psi_{i}(x) of the four ordinary Dirac equations have been derived.However, this fact cannot be interpreted as the possibility not to distinguishbetween the Dirac-K\"{a}hler field and the system four Dirac fermions. The mainformal argument is that the special transformation (I \otimes S(x)) involveddoes not belong to the group of tetrad local gauge transformation forDirac-K\"{a}hler field, 2-rank bispinor under the Lorentz group. Therefore, thelinear expansions between boson and fermion functions are not gauge invariantunder the group of local tetrad rotations.

Spherical waves for Dirac--K\"{a}hler and Dirac particles, formal relations between boson and fermion solutions