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In this work we propose a formalism to introduce the effects of noncommutativity to classical cosmological models. The method is based on noncommutative quantum cosmology and by means of a WKB type approximation the noncommutative classical solutions can be obtained.

We consider the motion of a particle described by an action that is a functional of the one-dimensional metric of the worldline and its first Frenet-Serret [FS] curvature. The metric and the curvature along with the orthogonal [FS] basis which…

The resonant quantum control techniques are vulnerable to cumulative errors specially if the manipulation operations involve many individual steps. It is shown that non trivial operations can be induced by non resonant fields challenging too simplified control models.

Scattering states in the continuum are used as Darboux transformation functions to deform square barrier potentials. The results include complex as well as real new potentials. It is shown that an appropriate superposition of Breit-Wigner distributions connects the transmission coefficient…

The deformation quantization of any Grassmann free field, or fermionic free field, in particular, the Dirac free field is discussed. Stratonovich-Weyl quantizer, Moyal product and Wigner functionals are obtained for this field by deforming suitable Fermi oscillator variables. In addition…

Using the canonical quantization for the flat FRW cosmological model with scalar field and scalar potential V(Ø), we obtain a differential equation for this potential. Also we present the quantum solution for this model, and under the WKB approximation to…

In this work, we apply a previous proposal to study noncommutative cosmology and apply it to inflation, we analyze an FRW cosmological background with a scalar field, via the WDW equation. In this scenario noconmmutativity is introduced in the gravitational…

We study the cosmic evolution in recent times within the induced gravity theory. Taking into account the experimental constraints on the parameter of the theory, we study the quintessence dynamics. We obtain the possible models and discuss the physical consequences…

After a survey of the cohomological quantum field theory, we review the computation of their Donaldson-Witten invariants. These invariants are generalized for smooth flows defined on the four manifold using notion of asymptotic cycles of higher dimensions than one introduced…