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- W2963903485 abstract "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 quantum particle is ”driven” by not only the centripetal force, but also a curvature induced force proportional to the Laplacian of the mean curvature, which is fundamental in the interface physics, causing curvature driven interface evolution." @default.
- W2963903485 created "2019-07-30" @default.
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- W2963903485 date "2017-12-01" @default.
- W2963903485 modified "2023-10-09" @default.
- W2963903485 title "Heisenberg equation for a nonrelativistic particle on a hypersurface: From the centripetal force to a curvature induced force" @default.
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- W2963903485 doi "https://doi.org/10.1063/1.5009162" @default.
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