2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/29481We investigate the effects of the shape of quantum dots on their far-infrared absorption in an external magnetic field by a model calculation. We focus our attention on dots with a parabolic confinement potential deviating from the common circular symmetry, and dots having circular doughnut shape. For a confinement where the generalized Kohn theorem does not hold we are able to interprete the results in terms of a mixture of a center-of-mass mode and collective modes reflecting an excitation of relative motion of the electrons. The calculations are performed within the time-dependent Hartree approximation and the results are compared to available experimental results.RevTeX, 16 pages with 10 postscript figures included. Submitted to Phys. Rev. BMesoscale and Nanoscale PhysicsInfluence of shape of quantum dots on their far-infrared absorptiontext