Abstract
We introduce the correlated hyperspherical harmonics as basis functions to solve the hyperangular equation for positively charged excitons X + in a harmonic quantum dot. By using this method, we have calculated the correlation energies of the low-lying states of the positively charged exciton X + as a function of the radius of quantum dots. We have also calculated the binding energies of the ground state of a positively charged exciton as a function of the electron-to-hole mass ratio and dot radius. We find that the binding energy of X + is larger than that of X − in quantum dots. The calculated results are compared with those of earlier theories.
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