  We define quantum observables associated with Einstein localisation in
space-time. These observables are built on Poincare' 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 polarisations which allow one
to define step operators increasing or decreasing the spin number by unity.
