| Details: |
The existence of space-time noncommutativity is very promising in various fields of modern science. Several different types of noncommutative structure have been suggested depending on their significance in different contexts; such as, quantum gravity, quantum cosmology, string theory as well as quantum mechanics. We discuss about the construction of one such noncommutative framework originating from a sophisticated mathematical background. However, the physical reality of such models are ensured by exploiting some standard techniques of PT-symmetric non-Hermitian Hamiltonian systems, which is yet another interesting subject in recent days. Nevertheless, we study applications of this particular noncommutative structure in different directions of mathematics and physics, particularly, in quantum optics and quantum information theory. |