NDLI: Pseudo-unitary dynamics of free relativistic quantum mechanical twofold systems

Content Provider	Springer Nature Link
Author	Cardoso, J. G.
Copyright Year	2012
Abstract	A finite-dimensional pseudo-unitary framework is set up for describing the dynamics of free elementary particles in a purely relativistic quantum mechanical way. States of any individual particles or antiparticles are defined as suitably normalized vectors belonging to the two-complex-dimensional spaces that occur in local orthogonal decompositions of isomorphic copies of Cartan’s space. The corresponding dynamical variables thus show up as bounded pseudo-Hermitian operator restrictions that possess real discrete spectra. Any measurement processes have to be performed locally in orthocronous proper Lorentz frames, but typical observational correlations are expressed in terms of symbolic configurations which come from the covariant action on spaces of state vectors of the Poincaré subgroup of an adequate realization of SU(2,2). The overall approach turns out to supply a supposedly natural description of the dynamics of free twofold systems in flat spacetime. One of the main outlooks devised here brings forward the possibility of carrying out methodically the construction of a background to a new relativistic theory of quantum information.
Starting Page	1
Ending Page	29
Page Count	29
File Format	PDF
Journal	The European Physical Journal Plus
Volume Number	127
Issue Number	5
e-ISSN	21905444
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2012-05-03
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Applied and Technical Physics Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Condensed Matter Physics Atomic, Molecular, Optical and Plasma Physics
Content Type	Text
Resource Type	Article

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