1,396 research outputs found
Noncommutativity Effects in FRW Scalar Field Cosmology
We study effects of noncommutativity on the phase space generated by a
non-minimal scalar field which is conformally coupled to the background
curvature in an isotropic and homogeneous FRW cosmology. These effects are
considered in two cases, when the potential of scalar field has zero and
nonzero constant values. The investigation is carried out by means of a
comparative detailed analysis of mathematical features of the evolution of
universe and the most probable universe wave functions in classically
commutative and noncommutative frames and quantum counterparts. The influence
of noncommutativity is explored by the two noncommutative parameters of space
and momentum sectors with a relative focus on the role of the noncommutative
parameter of momentum sector. The solutions are presented with some of their
numerical diagrams, in the commutative and noncommutative scenarios, and their
properties are compared. We find that impose of noncommutativity in the
momentum sector causes more ability in tuning time solutions of variables in
classical level, and has more probable states of universe in quantum level. We
also demonstrate that special solutions in classical and allowed wave functions
in quantum models impose bounds on the values of noncommutative parameters.Comment: 13 pages, 5 figure
- …