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

We present a framework which unifies a large class of noncommutative spacetimes that can
be described in terms of a deformed Heisenberg algebra. The commutation relations …

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 consider the noncommutative algebra which is rotationally invariant. The hydrogen atom
is studied in a rotationally invariant noncommutative space. We find the corrections to the …

Based on the position and momentum of noncommutative relations with a noncanonical
map, we study the Dirac equation and analyze its parity and time reversal symmetries in a …

We construct a relativistic spinning-particle Lagrangian where spin is considered as a
composite quantity constructed on the base of a non-Grassmann vector-like variable. The …

In the framework of vector model of spin, we discuss the problem of a covariant formalism
[35] concerning the discrepancy between relativistic and Pauli Hamiltonians. We show how …

The non-commutative electrodynamics based on the canonical Poisson gauge theory is
studied in this paper. For a pure spatial non-commutativity, we investigate the plane wave …

We study the influence of noncommutativity of coordinates and noncommutativity of
momenta on the motion of a particle (macroscopic body) in uniform and nonuniform …

We extend the three-dimensional noncommutative relations of the position and momentum
operators to those in the four dimension. Using the Seiberg-Witten (SW) map, we give the …