Dynamical screening of the Coulomb interaction for two confined electrons in a magnetic field

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dc.creatorSimonovic, N. S.
dc.creatorNazmitdinov, R. G.
dc.date2008-09-24
dc.date.accessioned2026-07-07T10:05:12Z
dc.date.available2026-07-07T10:05:12Z
dc.descriptionWe show that a difference in time scales of vertical and lateral dynamics permits one to analyze the problem of interacting electrons confined in an axially symmetric three-dimensional potential with a lateral oscillator confinement by means of the effective two-dimensional Hamiltonian with a screened Coulomb interaction. Using an adiabatic approximation based on action-angle variables, we present solutions for the effective charge of the Coulomb interaction (screening) for a vertical confinement potential simulated by parabolic, square, and triangular wells. While for the parabolic potential the solution for the effective charge is given in a closed anlytical form, for the other cases similar solutions can be easily calculated numerically.
dc.description10 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0809.4285
dc.identifierhttp://arxiv.org/abs/0809.4285
dc.identifierPhys.Rev.A78 (2008) 032115
dc.identifierdoi:10.1103/PhysRevA.78.032115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169941
dc.subjectMesoscale and Nanoscale Physics
dc.titleDynamical screening of the Coulomb interaction for two confined electrons in a magnetic field
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