73 citations · 304 across the 44 of their papers we have counts for
6 papers · 1 filter
Charge conjugation from space-time inversion in QED: discrete and continuous groups
B. Carballo Pérez, M. Socolovsky
We show that the CPT groups of QED emerge naturally from the PT and P (or T) subgroups of the Lorentz group. We also find relationships between these discrete groups and continuous…
Irreducible representations of the CPT groups in QED
Brenda Carballo Perez, Miguel Socolovsky
We construct the inequivalent irreducible representations (IIR's) of the CPT groups of the Dirac field operator \hatψ and the electromagnetic quantum potential \hat{A}_μ. The resul…
Topology and Collapse
Miguel Socolovsky
We show that the collapse of the wave function of an entangled state of two spin 1/2 particles or two photons in the singlet state can be geometrically understood as a change of fi…
Geometry of the Aharonov-Bohm Effect
R. S. Huerfano, M. A. Lopez, M. Socolovsky
We show that the connection responsible for any abelian or non abelian Aharonov-Bohm effect with parallel ``magnetic'' flux lines in , lies in a trivial -principal bun…
The CPT Group of the Dirac Field
Miguel Socolovsky
Using the standard representation of the Dirac equation we show that, up to signs, there exist only TWO SETS of consistent solutions for the matrices of charge conjugation (C), par…
The Universal Covering Group of U(n) and Projective Representations
M. A. Aguilar, M. Socolovsky
Using fibre bundle theory we construct the universal covering group of U(n), , and show that is isomorphic to the semidirect product $SU(n)\bigcirc {\s…