The k-Minkowski Spacetime: Trace, Classical Limit and uncertainty Relations

Details The k-Minkowski Spacetime: Trace, Classical Limit and uncertainty Relations The k-Minkowski Spacetime: Trace, Classical Limit and uncertainty Relations

2009-09-17

arxiv.org/abs/0909.3215v1

J. Kowalski Glikman, R. Durka, and M. Szczachor, eds., AIP Conference Proceedings, no. 1196, 2010

Physics

High Energy Physics

High Energy Physics - Theory

10 pages. XXV Max Born Symposium, Wroclaw June 29-July 3, 2009

Scientific paper

Starting from a discussion of the concrete representations of the coordinates of the k-Minkowski spacetime (in 1+1 dimensions, for simplicity), we explicitly compute the associated Weyl operators as functions of a pair of Schroedinger operators. This allows for explicitly computing the trace of a quantised function of spacetime. Moreover, we show that in the classical (i.e. large scale) limit the origin of space is a topologically isolated point, so that the resulting classical spacetime is disconnected. Finally we show that there exist states with arbitrarily sharp simultaneous localisation in all the coordinates; in other words, an arbitrarily high energy density can be transferred to spacetime by means of localisation alone, which amounts to say that the model is not stable under localisation.

Affiliated with

Also associated with

No associations

Rating

The k-Minkowski Spacetime: Trace, Classical Limit and uncertainty Relations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The k-Minkowski Spacetime: Trace, Classical Limit and uncertainty Relations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The k-Minkowski Spacetime: Trace, Classical Limit and uncertainty Relations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-391024