Four formulations of quantum mechanics on noncommutative Moyal phase spaces are
reviewed. These are the canonical, path-integral, Weyl–Wigner and systematic formulations …

In this review article we discuss some of the applications of noncommutative geometry in
physics that are of recent interest, such as noncommutative many-body systems …

We show the importance of the Voros product in defining a noncommutative Schwarzschild
black hole. The corrected entropy/area law is then computed in the tunneling formalism. Two …

Appearance of adiabatic geometric phase shift in the context of noncommutative quantum
mechanics is studied using an exactly solvable model of a two-dimensional simple harmonic …

Some aspects of the''exotic''particle, associated with the two-parameter central extension of
the planar Galilei group are reviewed. A fundamental property is that it has non-commuting …

The Heisenberg uncertainty principle is modified by the introduction of an observer-
independent minimal length. In this work, we have considered the resonant gravitational …

The present day gravitational wave (GW) detectors strive to detect the length variation,
which, owing to the smallness of the metric perturbation∼ h, is an extremely small length …

The existence of an observer independent minimum length scale can lead to the
modification of the Heisenberg uncertainty principle to the generalized uncertainty principle …

The study of the heat-trace expansion in non-commutative field theory has shown the
existence of Moyal non-local Seeley–DeWitt coefficients which are related to the UV/IR …

In this article, we study the properties of charged gravastars in torsion-based f (T) gravity in
the presence of noncommutative geometry. We have taken the interior from noncommutative …