355 research outputs found
On Peres' statement "opposite momenta lead to opposite directions", decaying systems and optical imaging
We re-examine Peres' statement ``opposite momenta lead to opposite
directions''. It will be shown that Peres' statement is only valid in the large
distance or large time limit. In the short distance or short time limit an
additional deviation from perfect alignment occurs due to the uncertainty of
the location of the source. This error contribution plays a major role in
Popper's orginal experimental proposal. Peres' statement applies rather to the
phenomenon of optical imaging, which was regarded by him as a verification of
his statement. This is because this experiment can in a certain sense be seen
as occurring in the large distance limit. We will also reconsider both
experiments from the viewpoint of Bohmian mechanics. In Bohmian mechanics
particles with exactly opposite momenta will move in opposite directions. In
addition it will prove particularly usefull to use Bohmian mechanics because
the Bohmian trajectories coincide with the conceptual trajectories drawn by
Pittman et al. In this way Bohmian mechanics provides a theoretical basis for
these conceptual trajectories.Comment: 20 pages, 3 figures, LaTex, to be published in Found. Phy
On the Consequences of Retaining the General Validity of Locality in Physical Theory
The empirical validity of the locality (LOC) principle of relativity is used
to argue in favour of a local hidden variable theory (HVT) for individual
quantum processes. It is shown that such a HVT may reproduce the statistical
predictions of quantum mechanics (QM), provided the reproducibility of initial
hidden variable states is limited. This means that in a HVT limits should be
set to the validity of the notion of counterfactual definiteness (CFD). This is
supported by the empirical evidence that past, present, and future are
basically distinct. Our argumentation is contrasted with a recent one by Stapp
resulting in the opposite conclusion, i.e. nonlocality or the existence of
faster-than-light influences. We argue that Stapp's argumentation still depends
in an implicit, but crucial, way on both the notions of hidden variables and of
CFD. In addition, some implications of our results for the debate between Bohr
and Einstein, Podolsky and Rosen are discussed.Comment: revtex, 11 page
Design and prototype of a train-to-wayside communication architecture
Telecommunication has become very important in modern society and seems to be almost omnipresent, making daily life easier, more pleasant and connecting people everywhere. It does not only connect people, but also machines, enhancing the efficiency of automated tasks and monitoring automated processes. In this context the IBBT (Interdisciplinary Institute for BroadBand Technology) project TRACK (TRain Applications over an advanced Communication networK), sets the definition and prototyping of an end-to-end train-to-wayside communication architecture as one of the main research goals. The architecture provides networking capabilities for train monitoring, personnel applications and passenger Internet services. In the context of the project a prototype framework was developed to give a complete functioning demonstrator. Every aspect: tunneling and mobility, performance enhancements, and priority and quality of service were taken into consideration. In contrast to other research in this area, which has given mostly high-level overviews, TRACK resulted in a detailed architecture with all different elements present
On the uniqueness of paths for spin-0 and spin-1 quantum mechanics
The uniqueness of the Bohmian particle interpretation of the Kemmer equation,
which describes massive spin-0 and spin-1 particles, is discussed. Recently the
same problem for spin-1/2 was dealt with by Holland. It appears that the
uniqueness of boson paths can be enforced under well determined conditions.
This in turn fixes the nonrelativistic particle equations of the
nonrelativistic Schrodinger equation, which appear to correspond with the
original definitions given by de Broglie and Bohm only in the spin-0 case.
Similar to the spin-1/2 case, there appears an additional spin-dependent term
in the guidance equation in the spin-1 case. We also discuss the ambiguity
associated with the introduction of an electromagnetic coupling in the Kemmer
theory. We argue that when the minimal coupling is correctly introduced, then
the current constructed from the energy-momentum tensor is no longer conserved.
Hence this current can not serve as a particle probability four-vector.Comment: 19 pages, no figures, LaTex, shortened version for Phys. Lett.
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