Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-11-12
Phys.Lett. A299 (2002) 454-460
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, LaTeX
Scientific paper
10.1016/S0375-9601(02)00751-X
Recently Amelino--Camelia proposed a ``Doubly Special Relativity'' theory with two observer independent scales (of speed and mass) that could replace the standard Special Relativity at energies close to the Planck scale. Such a theory might be a starting point in construction of quantum theory of space-time. In this paper we investigate the quantum and statistical mechanical consequences of such a proposal. We construct the generalized Newton--Wigner operator and find relations between energy/momentum and frequency/wavevector for position eigenstates of this operator. These relations indicate the existence of a minimum length scale. Next we analyze the statistical mechanics of the corresponding systems. We find that depending on the value of a parameter defining the canonical commutational algebra one has to do either with system with maximal possible temperature or with the one, which in the high temperature limit becomes discrete.
No associations
LandOfFree
Doubly special quantum and statistical mechanics from quantum $κ$-Poincaré algebra 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 Doubly special quantum and statistical mechanics from quantum $κ$-Poincaré algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Doubly special quantum and statistical mechanics from quantum $κ$-Poincaré algebra will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-632139