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 …

A pedagogical introduction to some of the main ideas and results of field theories on
quantized spacetimes is presented, with emphasis on what such field theories may teach us …

Within the setting of a recently proposed model of quantum fields on noncommutative
Minkowski space, the consequences of the consistent application of the proper, untwisted …

In this study, we investigate the Pauli oscillator in a noncommutative space. In other words,
we derive wave function and energy spectrum of a spin half non-relativistic charged particle …

A deformation of special relativistic kinematics (possible signal of a theory of quantum
gravity at low energies) leads to a modification of the notion of spacetime. At the classical …

Quantum field theories on noncommutative Minkowski space are studied in a model-
independent setting by treating the noncommutativity as a deformation of quantum field …

Noncommutative geometry can provide effective description of physics at very short
distances taking into account generic effects of quantum gravity. Inflation amplifies tiny …

The consideration of noncommutative spacetimes in quantum theory can be plausibly
advocated from physics at the Planck scale. Typically, this noncommutativity is controlled by …

Schrödinger cat states, which are superpositions of macroscopically distinct states, are
potentially critical resources for upcoming quantum information technologies. In this paper …