Some representations of the Poincare group by functions on phase space are studied both
for classical as well as quantum relativistic systems. The classical representations are …

Representations of the proper Poincaré group on spaces of functions of the phase space
variables q and p have been studied, by starting with the rotation subgroup SO (3), and …

This book is devoted to an extensive and systematic study on unitary representations of the
Poincar group. The Poincar group plays an important role in understanding the relativistic …

A new approach is introduced for constructing representations of Lie groups based on
canonical transformations in group phase space of the Lie group which reduce the regular …

The Biedenharn type relativistic wavefunctions are considered on the group manifold of the
Poincaré group. It is shown that the wavefunctions can be factorized on the group manifold …

We construct a family of equivalent representations U λ (λ≳ 0) of the restricted Poincaré
group 𝒫↑+ for a massive scalar particle on spaces 𝒦λ of functions defined over''phase …

A general theory of the realizations of Lie groups by means of canonical transformations in
classical mechanics is given. The problem is the analog to that of the characterization of the …

For a particle described by an irreducible unitary representation of the Poincare group. for
either positive mass or zero mass and discrete helicity, it is shown that the velocity operator …

The classical representations of the Lie algebra of the restricted Poincare group are
considered. The algebra of the dynamical variables of a classical system is introduced and …

Since E. Wigner set up a framework of the relativistically covariant quantum mechanics,
several aspects of unitary representations of the Poincaré group have been investigated …