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Identification of Geometric Potential from Quantum Conditions for a Particle on a Curved Surface

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arxiv 1701.08370 v2 pith:2RL34F3B submitted 2017-01-29 quant-ph cond-mat.mes-hallmath-phmath.MP

Identification of Geometric Potential from Quantum Conditions for a Particle on a Curved Surface

classification quant-ph cond-mat.mes-hallmath-phmath.MP
keywords conditionsgeometricmomentapotentialquantizationquantumangularcombination
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Combination of a construction of unambiguous quantum conditions out of the conventional one and a simultaneous quantization of the positions, momenta, angular momenta and Hamiltonian leads to the geometric potential given by the so-called thin-lay quantization.

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