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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A finite-dimensional pseudo-unitary framework is set up for describing thedynamics of free elementary particles in a purely relativistic quantummechanical way. States of any individual particles or antiparticles are definedas suitably normalized vectors belonging to the two-complex-dimensional spacesthat occur in local orthogonal decompositions of isomorphic copies of Cartan'sspace. The corresponding dynamical variables thus show up as boundedpseudo-Hermitian operator restrictions that possess real discrete spectra. Anymeasurement processes have to be performed locally in orthocronous properLorentz frames, but typical observational correlations are expressed in termsof symbolic configurations which come from the covariant action on spaces ofstate vectors of the Poincar\'e subgroup of an adequate realization of SU(2,2).The overall approach turns out to supply a supposedly natural description ofthe dynamics of free twofold systems in flat spacetime. One of the mainoutlooks devised here brings forward the possibility of carrying outmethodically the construction of a background to a new relativistic theory ofquantum information.

Pseudo-Unitary Dynamics of Free Relativistic Quantum Mechanical Twofold Systems