The relations of the vibrational frequency,the ground state energy and the ground state binding energy of weak-coupling impurity bound polaron in a quantum rod with the Coulomb bound potential,the electron-phonon coupling strength and the aspect ratio of the ellipsoid are studied by using the linear combination operator and the unitary transformation methods.

The relation of the vibrational frequency and the ground state binding energy of weak-coupling impurity bound magnetopolaron in an asymmetric quantum dot with the transverse and longitudinal confinement strength of quantum dot,the cyclotron resonance frequency of the magnetic field,the Coulomb bound potential and the electron-phonon coupling strength ware derived.

The bound polaron in a polar slab;

Taking into account the interaction of an electron with bulk longitudinal-optical(LO) and surface longitudinal-optical(SO) phonons,we studied the effective mass of the bound polaron in a polar slab by using the method of Green s function.

We conduct a theoretical study on the properties of a bound polaron in a quantum well under an electric field using linear combination operator and unitary transformation methods,which are valid in the whole range of electron-LO phonon coupling.

The influence of the electric field on the properties of the bound magnetopolaron in an infinite-depth GaAs semiconductor quantum well is investigated using the linear-combination operator and the unitary transformation method.

The relations of the vibrational frequency,the ground state energy,and the mean number of phonons of the strong-coupling bound magnetopolaron in a quantum dot with the temperature are derived.

The relations between the vibration frequency and the ground state energy of a strong-coupling bound magnetopolaron in a semiconductor quantum dot with the confinement length of the quantum dot,the Coulomb bound potential,cyclotron resonance frequency of magnetic field,and electron-phonon coupling .