Heisenberg equation for a nonrelativistic particle on a hypersurface: From the centripetal force to a curvature induced force
Source abstract
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.
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Research context
OpenAlex topics: Advanced Thermodynamics and Statistical Mechanics · Material Dynamics and Properties · Quantum Electrodynamics and Casimir Effect
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School for Theoretical Physics, School of Physics and Electronics, Hunan University 1 , Changsha 410082, China
Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Hunan Normal University 2 , Changsha 410081, China
Funding
National Natural Science Foundation of China
References (47)
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