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Let us note in passing that there is some arbitrariness in terms of order ℏ \hbar that depend on how we fix the constraints, here for simplicity we choose the Laplace Beltrami operator: see Ikegami, Mitsuhiro, et al. ”Quantum Mechanics of a Particle on a Curved Surface Comparison of Three Different Approaches.” Progress of theoretical physics 88.2 (1992): 229-249

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