The ground-state transition probability of impurity bound polaron in quantum rod

We using a variational method of Pekar type to study the ground-state transition probability of impurity bound polaron with strong electron-LO-phonon coupling in a quantum rod (QR). Quantum transition is happened in the low dimensional quantum system due to the electron-phonon interaction and the impact of temperature. That is the polaron transit from the ground-state to the first-excited state after absorbing a LO-phonon. We find the ground-state transition probability of impurity bound polaron enlarger with increasing the transverse and longitudinal confinement lengths of QR and changes small with enhancing the ground-state energy of impurity bound polaron. And the ground-state transition probability of bound polaron is an increasing function of the electron-phonon coupling constant.