are simply referred to Euler's angle variables 
,
parameters on the unitary group SU(2),
which permits to express the constructed wave solutions
in terms of Wigner's
functions 
.
Specification of the analysis to the case of elliptic, SO(3.R)
group space, model has been done. In so doing, the results
substantially depend upon the spin of a particle. In scalar
case, the part of the Schrödinger wave solutions must be
excluded by continuity considerations, remaining functions are
continuous everywhere in the elliptical 3-space. The latter is in
agreement with the known statement: the Wigner functions
at j = 0,1,2,... make up a
correct basis in SO(3.R) group space. For the fermion case, it
is shown that no Dirac solutions, continuous everywhere in
elliptical space, do exist. Description of a Dirac particle in
elliptical space of positive constant curvature cannot be
correct in the sense of continuity adjusted with its topological
structure.
Key words: spherical, elliptical, geometry, Shcrödinger and Dirac equations, Wigner functions, Euler angles, continuity, curvature, spin, topology
