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中文摘要：
纳米棒的哈密顿量通过坐标变换由椭球边界变为球形边界.采用线性组合算符方法从理论上研究了纳米棒由二维量子阱、零维量子点和一维量子线之间的演化.计算了纳米棒中强耦合磁极化子基态能量,导出了它随椭球纵横比、横向和纵向有效受限长度、磁场回旋频率和电子-声子耦合强度的演化规律.结果表明：极化子的基态能量是受限长度和纵横比的减函数,是回旋频率的增函数.基态能量的绝对值是耦合强度的增函数.
英文摘要：
The Hamiltonian of a nanorod with an ellipsoidal boundary is given after a coordinate transformation that changes the ellipsoidal boundary into a spherical one.The nanorods constitute the bridge between two-dimensional quantum wells,zero-dimensional quantum dots and one-dimensional quantum wires is explored theoretically by means of the linear combination operator method.We then calculate the ground state energy of the strong-coupling magnetopolaron in a nanorod.The ground state energy is expressed as functions of the aspect ratio of the ellipsoid,the transverse and the longitudinal effective confinement lengths,the cyclotron frequency of the magnetic field and the electron-phonon coupling strength.It is found that the ground state energy of the magnetopolaron is an increasing function of the cyclotron frequency,whereas it is a decreasing ones of the aspect ratio and confinement length.The absolute value of ground state energy will increase with increasing coupling strength.
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