Significance of the spinorial basis in relativistic quantum mechanics

TL;DR

This paper discusses the critical importance of selecting the appropriate spinorial basis in relativistic quantum mechanics, emphasizing its impact on the theory's structure and the role of space-time symmetries across interactions.

Contribution

It highlights the profound significance of the spinorial basis choice in the $(j,0)(0,j)$ representation space and its connection to space-time symmetries in relativistic quantum theory.

Findings

The choice of spinorial basis affects the formulation of relativistic quantum mechanics.

Space-time symmetries play a crucial dynamical role in interactions.

The basis choice has methodological and physical implications in the theory.

Abstract

The problems connected with a choice of the spinorial basis in the $(j,0)\oplus (0,j)$ representation space are discussed. It is shown to have profound significance in relativistic quantum theory. From the methodological viewpoint this fact is related with the important dynamical role played by space-time symmetries for all kind of interactions.