https://doi.org/10.1007/s100530050223
Quantum localization observables and accelerated frames
1
Laboratoire de Physique Théorique de l'ENS (Laboratoire du CNRS associé à
l'École Normale Supérieure et à l'université Paris-Sud.) ,
24 rue Lhomond, 75231 Paris Cedex 05, France
2
Laboratoire Kastler Brossel (Laboratoire de l'École Normale Supérieure et de
l'université Pierre et Marie Curie associé au CNRS.) ,
UPMC case 74, 4 place Jussieu, 75252 Paris Cedex 05, France
Received:
11
December
1997
Revised:
1
July
1998
Accepted:
1
September
1998
Published online: 15 January 1999
We define quantum observables associated with Einstein localization in space-time. These observables are built on Poincaré and dilatation generators. Their commutators are given by spin observables defined from the same symmetry generators. Their shifts under transformations to uniformly accelerated frames are evaluated through algebraic computations in conformal algebra. Spin number is found to vary under such transformations with a variation involving further observables introduced as irreducible quadrupole momenta. Quadrupole observables may be dealt with as non commutative polarizations which allow one to define step operators increasing or decreasing the spin number by unity.
PACS: 11.30.-j – Symmetry and conservation laws / 04.90.+e – Other topics in general relativity and gravitation / 14.70.Bh – Photons
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
