New Parameters of Non-commutativity in Quantum Mechanics

摘要

In this paper, it is considered to find a way for defining non-commutative spaces by ordinary commutative ones and vice versa. A novel parameter which has not been considered so far is represented. This parameter describes equivalent spaces. Also, we searched concepts of these new parameters with one problem. Non-commutativity in total space is important here because it could explain more concepts. As we knew SW method (Seiberg-Witten) explained non-commutativity so here, we showed that it was not suitable for some conditions in the end, we considered Hamiltonian of free particle in new non-commutativity, and we found concepts of new parameters.