Spectral properties of a short-range impurity in a quantum dot

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dc.creatorBruening, J.
dc.creatorGeyler, V.
dc.creatorLobanov, I.
dc.date2003-10-21
dc.date.accessioned2026-07-07T04:30:40Z
dc.date.available2026-07-07T04:30:40Z
dc.descriptionThe spectral properties of the quantum mechanical system consisting of a quantum dot with a short-range attractive impurity inside the dot are investigated in the zero-range limit. The Green function of the system is obtained in an explicit form. In the case of a spherically symmetric quantum dot, the dependence of the spectrum on the impurity position and the strength of the impurity potential is analyzed in detail. It is proven that the confinement potential of the dot can be recovered from the spectroscopy data. The consequences of the hidden symmetry breaking by the impurity are considered. The effect of the positional disorder is studied.
dc.description30 pages, 6 figures, Latex
dc.identifierhttps://arxiv.org/abs/math-ph/0310040
dc.identifierhttp://arxiv.org/abs/math-ph/0310040
dc.identifierJ. Math. Phys. 45 (2004), 1267-1290
dc.identifierdoi:10.1063/1.1647693
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57538
dc.subjectMathematical Physics
dc.titleSpectral properties of a short-range impurity in a quantum dot
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