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Baltenkov, Arkadiy S.; Msezane, Alfred Z., E-mail: amsezane@cau.edu2016
AbstractAbstract
[en] The effects of quantum confinement on the momentum distribution of electrons confinedwithin a cylindrical potential well have been analyzed. The motivation is to understandspecific features of the momentum distribution of electrons when the electron behavior iscompletely controlled by the parameters of a non-isotropic potential cavity. It is shownthat studying the solutions of the wave equation for an electron confined in a cylindricalpotential well offers the possibility to analyze the confinement behavior of an electronexecuting one- or two-dimensional motion in the three-dimensional space within theframework of the same mathematical model. Some low-lying electronic states with differentsymmetries have been considered and the corresponding wave functions have been calculated;the behavior of their nodes and their peak positions with respect to the parameters of thecylindrical well has been analyzed. Additionally, the momentum distributions of electronsin these states have been calculated. The limiting cases of the ratio of the cylinderlength H andits radius R0 have been considered; when the cylinderlength Hsignificantly exceeds its radius R0 and when the cylinder radius is muchgreater than its length. The cylindrical quantum confinement effects on the momentumdistribution of electrons in these potential wells have been analyzed. The possibleapplication of the results obtained here for the description of the general features inthe behavior of electrons in nanowires with metallic type of conductivity (or nanotubes)and ultrathin epitaxial films (or graphene sheets) are discussed. Possible experiments aresuggested where the quantum confinement can be manifested. Graphical abstract: .
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Copyright (c) 2016 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg; Article Copyright (c) 2016 EDP Sciences, SIF, Springer-Verlag GmbH Germany; This record replaces 50016212; This record replaces 50034538; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
European Physical Journal. D, Atomic, Molecular and Optical Physics; ISSN 1434-6060;
; v. 70(4); p. 1-9

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