Heisenberg equation for a nonrelativistic particle on a hypersurface: From the centripetal force to a curvature induced force

In classical mechanics, a nonrelativistic particle constrained on an N − 1 curved hypersurface embedded in N flat space experiences the centripetal force only. In quantum mechanics, the situation is totally different for the presence of the geometric potential. We demonstrate that the motion of the...

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Bibliographic Details
Main Authors: D. K. Lian, L. D. Hu, Q. H. Liu
Format: Article
Language:English
Published: AIP Publishing LLC 2017-12-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5009162