Influences of an Anisotropic Parabolic Potential on the Ground State Binding Energy of Polaron in Quantum Dot

There are different parabolic confining potentials from three directions in a quantum dot.We investigate the influences of an anisotropic parabolic potential on the vibrational frequency and ground state binding energy of the polaron in a quantum dot by using linear combination operator and the unitary transformation methods.The relations of the vibrational frequency and ground state binding energy with the electron-phonon coupling strength and the effective confinement lengths are derived.Numerical results have showed that the vibrational frequency and ground state binding energy are increasing functions of the electron-phonon coupling strength.And they will decrease rapidly with increasing the effective confinement lengths from three directions which are showing the novel quantum size confining effect of the quantum dot.