Investigation of Photoluminescence Spectra of Excitons and Biexcitons in Strongly Prolate Ellipsoidal Quantum Dot

On the base of one-particle wave functions, which are obtained by the help of the adiabatic approximation, the trial wave function of the biexciton is constructed. It has been taken into account the fact that the ground state of the biexciton is singlet.The photoluminescence spectra (PL) of biexciton and exciton states in strongly prolate ellipsoidal quantum dot as functions of the incident light for the crossover states are calculated. For the calculation of the PL spectra it has been considered the dependence of the effective band gap on the temperature. Biexciton's and exciton's radiative lifetimes in strongly prolate ellipsoidal quantum dot as functions of the small geometrical parameter are estimated.