Composite system is studied in noncommutative phase space with preserved rotational
symmetry. We find conditions on the parameters of noncommutativity on which commutation …

We formulate general definitions of semi-classical gauge transformations for
noncommutative gauge theories in general backgrounds of string theory, and give novel …

We propose a model of dynamical noncommutative quantum mechanics in which the
noncommutative strengths, describing the properties of the commutation relations of the …

The existence of a minimal measurable length as a characteristic length in the Planck scale
is one of the main features of quantum gravity and has been widely explored in the context …

We have calculated the hydrogen atom spectrum on curved noncommutative space defined
by the commutation relations $[\hat {x}^{i},\hat {x}^{j}]={\rm i}\theta\hat {\omega}^{ij}(\hat {x}) …

We investigated the thermodynamic properties of graphene in a noncommutative phase–
space in the presence of a constant magnetic field. In particular, we determined the …

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 …

We study graphene in a two-dimensional dynamical noncommutative (NC) space in the
presence of a constant magnetic field. The model is solved using perturbation theory and to …

We introduce a new set of noncommutative spacetime commutation relations in two space
dimensions. The space–space commutation relations are deformations of the standard flat …

The Aharonov-Bohm effect including spin-noncommutative effects is considered. At linear
order in θ, the magnetic field is gauge invariant although spatially strongly anisotropic …