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中文摘要：
采用线性组合算符和幺正变换方法研究量子点中强耦合束缚极化子的振动频率、第一内部激发态能量、激发能量和共振频率的性质.讨论了这些量随量子点的有效受限长度、电子-声子耦合强度和库仑束缚势的变化关系.通过数值计算结果表明：量子点中强耦合束缚极化子的振动频率、第一内部激发态能量、激发能量和共振频率随量子点的有效受限长度的减小而迅速增大,随库仑束缚势和电子-声子的耦合强度的增加而增大.
英文摘要：
With the development of molecular beam expitaxy （MBE） technology and metal organic chemical vapor deposition （MOCVD） technology, there has been great interest in investigating quantum dot in both material science and condensed state physics field. Due to size of quantum dot was small, they had a series of new and serious character, for example, quantum size effect, quantum coherent effect, quantum tunnel effect, Coulomb resistance effect and surface effect, etc. , these had brought infinite chance and hope on development and use of new materials. The properties of the polaron in a quantum dot have been studied by many investigators theoretically and experimentally. In recent years, with the study of the properties of bound polaron in a quantum dot, people have paid more attention to them. The vibrational frequency, the average number of optical phonons and the interaction energy of bound polaron in a parabolic quantum dot have been discussed using the linear combination operator method by the present authors. However, the properties of excited state of bound polaron in a quantum dot have not been investigated by a linear combination operator method so far. The purpose of the present paper is to explore the effect of Coulomb bound potential on the properties of the bound polaron in a quantum dot. With the strong-coupling between the electron and bulk LO phonon included, we obtain an expression for the vibrational frequency, the first internal excited state energy, the excitation energy and the resonance frequency of the strong-coupling bound polaron in a quantum dot by using the linear combination operator method. The relation of these quantities with the effective confinement length of the quantum dot, the Coulomb bound potential and the electron-phonon coupling strength were discussed. Numerical calculations show that the vibrational frequency, the first internal excited state energy, the excitation energy and the resonance frequency of the strong-coupling bound polaron in a quantum dot will strongly i
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