Research Projects

The proposed project aims to conduct theoretical quantum chemical calculations to determine the structural properties of higher angular momentum states of few electron systems originating from ion-atom collision processes. These states can be bound or resonance states. The methodology will use the Ritz variation principle, the Eispack subroutine, the Nelder-Mead algorithm, and the state-of-the-art stabilization method for estimating resonance parameters. The calculations will be carried out in Fortran language and will be carried out in quadruple precision to produce benchmark results. The methodology will also be extended to determine different structural properties for bound and resonance states of few-electron systems under various confinement conditions, such as quantum dot, plasma environment, and fullerene cage. The quantum dot confinement will be represented by the "finite oscillator potential," while the plasma environment will be modeled by the "Debye potential" for weakly coupled plasma and "ion sphere potential" for strongly coupled plasma. The project will also create a broad data base on the spectral properties of few electron systems under both free and confinement conditions, which will be useful for experimental validations related to laboratory and astrophysical observations.