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中文摘要：
研究多原子半无限晶体中电子与表面光学（SO）声子耦合强，而与体纵光学（LO）声子耦合弱的极化子的激发态性质。采用线性组合算符和幺正变换方法导出与SO声子耦合强而与LO声子耦合弱情形下极化子的基态能量、第一内部激发态能量和激发能量。结果表明，多原子半无限晶体中与SO声子耦合强，而与LO声子耦合弱的极化子的基态能量、第一内部激发态能量不仅包含不同支LO声子和不同支SO声子与电子耦合的能量，而且也包含不同支sO声子之间相互作用贡献的附加能量。激发能量与体纵光学声子无关。
英文摘要：
With the development of the material science and experimental technology, the properties of the surface polaron in semi-infinite crystals have been of considerable interest. Many investigators studied the properties of surface polaron in semi-infinite crystals in many aspects by a variety of theoretical and experimental methods.Most polar crystals are diatomic and cubic and their crystal structure belongs to NaCl, CsCl or ZnS type. In these crystals there is one longitudinal optical （LO） phonon mode. The properties of crystals having only one LO phonon branch have been studied by a great variety of techniques. However, a large number of polar crystals , with several atoms per unit cell, have more than one LO phonon branch. For example, in cuprite compounds such as CuO2 there are two LO phonon modes. crystals （ SrTiO3, LiNbO3, BaTiO3, etc） SiO2, GaAs1-xPx and a large number of perovskite＇s have more than two LO phonon modes. The polaron problem with many LO phonon branches has been studied by Matsura and Lepine. The properties of the polaron and the magnetopolaron in a polyatomic polar crystals are investigated by the present authors. However, so far, research of the properties of surface polaron in polyatomic semi-infinite crystals considering both the electron-bulk-longitudinal optical-phonon and electron-surface-optical-phonon interaction, has been very scarce. Recently, the properties of the excited state of surface polaron in polyatomic semi-infinite, which are the strong-coupling with surface optical phonon and the bulk longitudinal optical phonon, are studied by using a linear-combination operator and unitary transformation method by the present authors. For the bulk polaron, the weak and intermediate coupling theories are applicable for electron-bulk LO phonon coupling constant αL 〈 6, whereas for the surface polaron, this confinement is about 2.5. Hence, when the electron-SO phonon coupling constant satisfied as 〉 2.5, the strong-coupling theory must be applied. There is a weak coupling bet
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