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Open Quantum Systems Decoherence
Quantum Simulation
Heisenberg equation for a nonrelativistic particle on a hypersurface: from the centripetal force to a curvature induced force
arXiv
Authors: D. K. Lian, L. D. Hu, Q. H. Liu
Year
2017
Paper ID
44451
Status
Preprint
Abstract Read
~2 min
Abstract Words
81
Citations
N/A
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 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.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- In classical mechanics, a nonrelativistic particle constrained on an N-1 curved hypersurface embedded in N flat space experiences the centripetal force only.
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