Abstract
The quantum mechanics on the hypersurface VN-1 embedded in Euclidean space RN is examined. The quantization is done in accordance with Dirac method, and as a result some additional term proportional to ħ2 appears in the potential energy. This term has the information of exterior to the hypersurface; thus, the quantum mechanics in Riemann space without any kind of exterior world is different from quantum mechanics on hypersurface embedded in Euclidean space.
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