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Here we embark on a thorough investigation of the magneto-optical absorptionin semiconducting {\em spherical} quantum dots characterized by a confiningharmonic potential and an applied magnetic field in the symmetric gauge. Thisis done within the framework of Bohm-Pines' random-phase approximation thatenables us to derive and discuss the full Dyson equation that takes properaccount of the Coulomb interactions. As an application of our theoreticalstrategy, we compute various single-particle and many-particle phenomena suchas the Fock-Darwin spectrum; Fermi energy; magneto-optical transitions;probability distribution; and the magneto-optical absorption in the quantumdots. It is observed that the role of an applied magnetic field on theabsorption spectrum is comparable to that of a confining potential. Increasing(decreasing) the strength of the magnetic field or the confining potential isfound to be analogous to shrinking (expanding) the size of the quantum dots:resulting into a blue (red) shift in the absorption spectrum. The Fermi energydiminishes with both increasing magnetic-field and dot-size; and exhibitssaw-tooth-like oscillations at large values of field or dot-size. Unlikelaterally confined quantum dots, both (upper and lower) magneto-opticaltransitions survive even in the extreme instances. However, the intra-Landaulevel transitions are seen to be forbidden. The spherical quantum dots have anedge over the strictly two-dimensional quantum dots in that the additional(magnetic) quantum number makes the physics richer (but complex). A deepergrasp of the Coulomb blockade, quantum coherence, and entanglement can lead toa better insight into promising applications involving lasers, detectors,storage devices, and quantum computing.

Magneto-optical absorption in semiconducting spherical quantum dots: Influence of the dot-size, confining potential, and magnetic field