In recent years

with the quick development of nanofabrication technology to material

the physical characteristics of low dimensional material have aroused great interest. The lots of novel effects of the quantum dots systems have attracted more and more physicists. Because of the wide device applications and a lot of new optical properties and electron transport characteristics in such structures

understanding the electronic properties of these systems is of particular importance. Many investigators studied the properties of bound polaron in a quantum dot in many aspects by a variety of theoretical and experimental methods. Recently

the properties of polaron in asymmetric quantum dot have been studied by using the linear combination operator and the unitary transformation methods by the present authors. However

using linear combination operator method

the properties of bound polaron in an asymmetries quantum dot has not been investigated so far. In this paper

influences of the transverse and longitudinal effective confinement length of quantum dot

the coulomb bound potential and the electron-phonon coupling strength on the properties of weak-coupling bound polaron in an asymmetries quantum dot were studied. We obtain an expression for the vibration frequency and the ground state energy of the weak-coupling bound polaron in an asymmetries quantum dot as a function of the transverse and longitudinal effective confinement length of quantum dot

the coulomb bound potential and the electron-phonon coupling strength by using a linear combination operator and the unitary transformation method. Numerical calculations were performed and the results show that the vibration frequency and the ground state energy of the weak-coupling bound polaron in an asymmetries quantum dot will strongly increase with decreasing the transverse and longitudinal effective confinement length

and will increase with increasing the coulomb bound potential and decreasing the electron-phonon coupling strength.