Quantization on submanifolds
H. D. Doebner, J. Tolar · Czech digital mathematics library · 1984
Extrinsic position and momentum operators are defined on a Riemannian manifold (M,g) via an isometric embedding i: (M,g)----» (R i8 n )-An intrinsic Hamiltonian Hdescribing free dynamics on (M,g) is constructed by an associated Riemannian submer3ion satisfying a physically well justified condition.