Back to Search
Start Over
Heisenberg equation for a nonrelativistic particle on a hypersurface: From the centripetal force to a curvature induced force.
- Source :
- AIP Advances; 2017, Vol. 7 Issue 12, p125118-1-125118-4, 4p
- Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 21583226
- Volume :
- 7
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- AIP Advances
- Publication Type :
- Academic Journal
- Accession number :
- 127093623
- Full Text :
- https://doi.org/10.1063/1.5009162