Discontinuity of dipole-moment matrix elements in ellipsoidally shaped nanoparticles and profiles of spectral lines |
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Authors: | T Kereselidze T Tchelidze A Devdariani |
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Institution: | 1. Faculty of Exact and Natural Sciences, Tbilisi State University, 1 Chavchavadze Ave., 0179 Tbilisi, Georgia;2. St. Petersburg State University, 11/2 Lieutenant Schmidt Emb., St. Petersburg 199034, Russia |
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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. |
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Keywords: | Nanoparticle Ellipsoidal shape Shape-anisotropy parameter Profile of spectral line |
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