Summary
It is proven that for a spinless particle, constrained to move on a curve, a potential term, proportional to the curvature square, must be added to the Schrö-dinger equation.
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Picca, D. Constraints in quantum mechanics. Lett. Nuovo Cimento 34, 449–452 (1982). https://doi.org/10.1007/BF02754884
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DOI: https://doi.org/10.1007/BF02754884