In this paper we have obtained momentum representation in curved space with a different procedure to previous reports and then as a straight application for these operators we have investigated them on the compact manifold as a sphere. Our investigation indicates the spectrum of generalized momentum operators on the compact manifold is discrete.

In this paper we have obtained momentum representation in curved space with a different procedure to previous reports and then as a straight application for these operators we have investigated them on the compact manifold as a sphere. Our investigation indicates the spectrum of generalized momentum operators on the compact manifold is discrete.

In this paper we have obtained momentum representation in curved space with a different procedure to previous reports and then as a straight application for these operators we have investigated them on the compact manifold as a sphere. Our investigation indicates the spectrum of generalized momentum operators on the compact manifold is discrete.