Noncommutative quantum cosmology with perfect fluid

Abstract

In this paper, we study a noncommutative quantum description of Kantowski–Sachs cosmological model in the presence of perfect fluid matter field which governs the time evolution of the wave function for the universe. The effect of the noncommutative parameter for this cosmological model has also been analyzed through the behavior of the probability density function. It is observed that a multiverse universe model is possible even in the absence of noncommutativity. The effect of noncommutativity is revealed by a decrease in the highest value of the individual peaks. We also discuss on the unitarity of the model and show that it can be restored with a proper definition of inner product as it has been shown to happen in other models of anisotropic quantum cosmologies.

Squeezed coherent states for gravitational well in noncommutative space

“…It is almost a Gospel that the fundamental concept of space-time is mostly compatible with quantum theory in NC-space [26,27]. Therefore, extending ideas of the commutative space quantum mechanics to noncommutative (NC)-space is always an interesting aspect in its own right [28][29][30][31][32][33][34]. In this paper, we study entanglement between coordinate degrees of freedom induced by both the position-position and momentum-momentum noncommutativity parameters, as well as the anisotropy due to the mass and frequency of a quantum mechanical oscillator.…”