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Quantum Mechanics in Riemannian Manifold. II

We have previously argued about the quantum mechanics on the hypersurface V N−1 embedded in Euclidean space R N . We generalize the formalism to the case of V L embedded in Euclidean space R N with 1≤L≤N. The result is essentially the same as the previous one and the additional term proportional to h 2 appears in the potential energy which is related to the extrinsic mean curvature of V L in R N