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中文摘要：
采用改进的线性组合算符和幺正变换相结合的方法,研究磁场、量子点的横向和纵向有效受限长度和电子-声子耦合强度对非对称量子点中弱耦合磁极化子的振动频率和相互作用能的影响。导出了振动频率和相互作用能随量子点的横向和纵向有效受限长度、电子-声子耦合强度和磁场的回旋共振频率的变化关系。数值计算结果表明：振动频率和相互作用能随量子点的横向和纵向有效受限长度的减小而迅速增大,随磁场的回旋共振频率的增加而增大,相互作用能随电子-声子耦合强度的减小而呈线性的增大。
英文摘要：
The influences of the magnetic field, the transverse and longitudinal effective confinement length of quantum dot and the electron-phonon coupling strength on the vibrational frequency and the interaction energy of weak coupling magnetopolaron in an asymmetric quantum dot are studied by using an improved linear combination operator and the unitary transformation method . The relation of the vibrational frequency and the interaction energy of weak coupling magnetopolaron in an asymmetric quantum dot with the transverse and longitudinal effective confinement length of quantum dot , the electron-phonon coupling strength and the cyclotron resonance frequency of the magnetic field are derived. Numerical calculations are performed and the results show that the vibrational frequency and the interaction energy of weak coupling magnetopolaron in an asymmetric quantum dot will increase rapidly with deereasing the transverse and longitudinal effective confinement length of quantum dot, and will increase with increasing the eyelotron resonance frequeney of magnetic field. The interaction energy of magnetopolaron is a kind of linear relationship, and it increases with the decrease of electron-phonon coupling strength.
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