With the further

development of material production technology low dimensional electronic systems

quantum dot

quantum well and quantum wire et al

have been produced with molecular beam epitaxy technigue(MBE)

metal organic chemical vapor deposition (MOCVO) and chemical self-assemble technique. Due to the small structures of quantum dot some physical properties such as optical and electron transport characteristics are quite different from those of the bulk materials

especially.The properties of the electrons in the quantum dots play a more important role in electronic and optical properties of polar crystalline materials. There has been great interest in investigation quantum dots both theoretically and experimentally.Many investigators studied the properties of the polaron in an asymmetry quantum dots in many aspects by a variety of theoretical and experimental methods.Recently

the properties of strong-and-weak-coupling pelaron in an a-symmetry quantum dot have been studied using the linear-combination operator and unitary transformation method by the present authors.However

using linear-combination operator method

the properties of the polaron in an asymmetry quantum dot has not been fully investigated so far.The purpose of this present paper is to explore the effect of the longitudinal and transverse effective confinement length of quantum dot

electron-phonon coupling strength and the cyclotron frequency of magnetic field on the properties of weak-coupling mag-netoplaron in an asymmetry quantum dots.We obtain an expression for the ground state energy and the ground state binding energy of the weak-coupling magnetopolaron in an asymmetry quantum dot as a function of the longitudinal and transverse effective confinement length

the electron-phonon coupling strength and cyclotron frequency of magnetic field by using a linear combination operator and unitary transformation method.Numerical calculations are performed and the results show that the ground state energy and ground state binding energy of the weak-coupling magnetopolaron in an asymmetry quantum dot will increase strongly with decreasing the transverse and longitudinal effective confinement length of quantum dot

and will increase with increasing the cyclotron frequency of magnetic field and decreasing the electron-phonon coupling strength.