Abstract
The effect of the bend of a surface to which electrons are confined is studied. It is shown that there appears an attractive potential due to the curvature in the two-dimensional effective Hamiltonian of an electron. Some examples of the curved surface are examined. An interesting behavior of electrons is found in the case of a circular cone, that is “fall” of electrons to the vertex.
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© 1992 Springer-Verlag Berlin Heidelberg
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Nagaoia, Y., Ikegami, M. (1992). Quantum Mechanics of an Electron on a Curved Surface. In: Fukuyama, H., Ando, T. (eds) Transport Phenomena in Mesoscopic Systems. Springer Series in Solid-State Sciences, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84818-6_16
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DOI: https://doi.org/10.1007/978-3-642-84818-6_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84820-9
Online ISBN: 978-3-642-84818-6
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