Energy shifts resulting from surface curvature of quantum nanostructures
- 1 July 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 58 (1) , 77-81
- https://doi.org/10.1103/physreva.58.77
Abstract
We use differential forms to derive the quantum-mechanical potential induced by surface curvature. Two surfaces are modeled with the classical Monge representation and the resulting modifications to the potential- and kinetic-energy operators in the Schrödinger equation are obtained. We find that the ground-state energy shift resulting from the dot’s surface curvature is of sufficient order to be observable in quantum nanostructures.Keywords
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