Lots of investigator's interests

in the problem of a polaron and magnetopolaron bound to a hydrogenic impurity and interacting with the longitudinal optical phonon field in an ionic crystal or a polar semiconductor

have been maintained over years. 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 mate-rials

especially. There has been great interest in investigation quantum dots both theoretically and experimentally. Many investigators studied the properties of the polaron and magnetopolaron in an asymmetry quantum dots in many aspects by a variety of methods. Recently

the properties of weak-coupling magnetopolaron in an asymmetry quantum dots have been studied using the linear combination operator and the unitary transformation methods by the present authors. However

using linear combination operator method

the influence of the Coulomb field on the properties of bound polaron and bound magnetopolaron in an asymmetry quantum dots has not been fully investigated so far.The influence of the magnetic field on the properties of weak-coupling bound magnetopolaron in an asymmetry quantum dots are studied. The vibrational frequency and the ground state energy of the weak-coupling bound magnetopolaron in an asymmetry quantum dots are derived by using the linear combination operator and the unitary transformation methods. We obtain the expressions of ground state energy and vibrational frequency for the weak-coupling bound magnetopolaron in an asymmetry quantum dots as a function of the transverse and longitudinal effective confinement length of quantum dot

cyclotron resonance frequency of magnetic felid

Coulomb bound potential and the electron-phonon coupling strength. Numerical calculations are performed and the results show that the vibration frequency and the ground state energy of the weak-coupling bound magnetopolaron in an asymmetries quantum dot will increase strongly with decreasing the transverse and longitudinal effective confinement length of quantum dot. The vibrational frequency of the weak-coupling bound magnetopolaron will increase with increasing the cyclotron resonance frequency of magnetic felid and Coulomb bound potential

whereas the ground state energy of bound magnetopolaron will decrease with increasing the Coulomb bound potential and electron-phonon coupling strength