Discontinuity of dipole-moment matrix elements in ellipsoidally shaped nanoparticles and profiles of spectral lines

T. Kereselidze, T. Tchelidze, A. Devdariani

Research outputpeer-review

Abstract

The behaviour of energy levels and optical spectra of a charged particle (electron or hole) confined within a potential well of ellipsoidal shape is investigated as a function of the shape-anisotropy parameter. If two energy levels of the same symmetry intersect in a perturbation-theory approximation, they move apart on direct diagonalization of the appropriate Hamiltonian. The intersection of the energy levels leads to a discontinuity of the corresponding dipole-moment matrix element. The discontinuity of matrix elements is not reflected in the behaviour of transition probabilities which are continuous functions of the shape-anisotropy parameter. The profiles of a spectral line emitted or absorbed by an ensemble of ellipsoidally shaped nanoparticles with a Gaussian distribution of size are calculated and discussed.

Original languageEnglish
Pages (from-to)134-140
Number of pages7
JournalOpto-electronics Review
Volume26
Issue number2
DOIs
Publication statusPublished - 1 May 2018

Scopus subject areas

  • Radiation
  • Electrical and Electronic Engineering

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