Introducing of delta function in generalized space and their application in quantum mechanics

Mehdi Jafari Matehkolaee , Saba Samkhaniani

Department of Physics, Alzahra University, Tehran 19938-93973, Iran

This paper shows that the delta function can be displayed independently in a curved space. We show why the delta function is important in a curved space. In this regard, we review the essential properties of the delta function on the smooth manifold. Then, we deduce the Heisenberg canonical computational relation by using the definition of delta function in curved space.