title: Quantum states of electron in the image potential of the spherically deformed ultrathin nanostructure
metadata.name: dc.contributor.author
metadata.value: Zhuvikin, Georgii V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Mukharaeva, Indjira Yu.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-07-04T15:07:42Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-07-04T15:07:42Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Zhuvikin G. V., Mukharaeva I. Yu. Quantum states of electron in the image potential of the spherically deformed ultrathin nanostructure. Vestnik SPbSU. Physics and Chemistry. 2017, vol. 4 (62), issue 1, pp. 7–15.
metadata.lang: en_GB
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6650
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The quantum problem in the interaction of the electron with conducting ultrathin nanostructure is
  considered. The last one is represented by the model of the spherically deformable flat layer. The
  external part of the electron interaction with the surface is given by the electrostatic polarization
  image potential, and the internal part of this interaction is represented by the potential well
  with the given parameters — the depth and width. The quantum problem is reduced to the
  one-dimensional Schr¨odiger equation which is solved numerically by the finite difference method.
  In the case of the flat layer two types of the Rydberg states assigned to the parity number of the
  reflection symmetry are observed. The effects of the symmetry breaking are investigated under
  the spherical deformation of the nanostructure in dependence of the surface radius curvature. The
  conditions of the discrete states representation by the spectral expression for the hydrogen-like
  atom are investigated. Values of the quantum defect are calculated as functions of the thickness
  and curvature radius of the nanostructure. In the case of the flat geometry calculations for the
  structure with the graphene parameters are in well agreement with results of the theoretical
  works of the other authors. The number of the bounded states becomes finite under the spherical
  deformation of the nanostructure. At the same time the hydrogen-like property of the states is
  violated at the upper limit of the energy spectrum as well as at the lower one. Refs 15. Figs 5.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Physics and Chemistry;Volume 4 (62); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: nanostructure
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: spherical deformation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: electron states
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Rydberg states
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the surface image potential
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the polarization potential
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the electron binding energy
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Quantum states of electron in the image potential of the spherically deformed ultrathin nanostructure
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 02-Zhuvikin.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6650/1/02-Zhuvikin.pdf
resources.format: Adobe PDF
resources.size: 596,05 kB