Study of strong-coupling impurity bound polaron in a quantum pseudodot

In the present work, we have studied the first internal excited state energy and transition frequency of strong-coupling impurity bound polaron in a quantum pseudodot using the well-known Lee-Low-Pines (LLP) unitary transformation method. We show the effect of Coulomb bound potential, electron-phonon (e-p) coupling strength, the quantum dot radius and potential height on first internal excited state energy and the transition frequency of the impurity bound polaron. According to the results, it is found that the first internal excited state energy is decreased with increasing quantum dot radius. Also, this energy is increased with enhancing potential height. The transition frequency is increased with increasing the e-p coupling strength. Also, the first internal excited state energy is increased with decreasing the e-p coupling strength. The transition frequency is enhanced with increasing the Coulomb bound potential.