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中文摘要：
研究了量子线中弱耦合磁极化子的性质。采用线性组合算符和微扰法导出量子线中弱耦合磁极化子的基态能量。在计及电子在反冲效应中发射和吸收不同波矢的声子之间的相互作用时，讨论了量子线的受限强度、电子-LO声子耦合强度和声子之间相互作用对量子线中弱耦合磁极化子的基态能量的影响。数值计算结果表明：量子线中弱耦合磁极化子的基态能量随量子线的受限强度ω0。的增大而迅速增大。当受限强度ω0取相同值时，电子-声子耦合强度α越大基态能量岛越小，磁场的回旋频率ω0。越大基态能量E0越大。在弱磁场情况下，当ω0〈0．5时，随着量子线的受限强度ω0的减少P值迅速增大，即对于弱磁场声子之间相互作用的影响不能忽略。
英文摘要：
The influence of interaction between phonons on properties of weak-eouping polaron in quantum wires are studied by using linear-combination operator and perturbation methods. The ground state energy of weak-coupling magnetopolaron in quantum wires is obtained considering the interaction between electron and LO-phonon. The influence of the confinement strength interaction between phonons of different wave vectors , the electron-LO phonon coupling strength and the in the recoil process on the ground state energy of weakcoupling magnetopolaron in quantum wires are discussed. Numerical calculation illustrated that the ground state energy of weak-coupling magnetopolaron will increase rapidly with increasing the confinement strength. At the same value of the confinement strength, ground state energy of magnetopolaron will decrease with increasing the electron-LO phonon coupling strength and will increase with increasing the cyclotron frequency of the magnetic field. For weak magnetic field, the influence of the interaction between phonons on the ground state energy of the magnetopolaron can not be ignored.
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