采用传递矩阵方法,在介电连续近似下,推导并给出了n层耦合约化维度量子体系(包括耦合量子阱CQW,耦合量子阱线CQWW和耦合量子点CQD)中的界面光学声子模与相应的电子-声子相互作用哈密顿的统一表达式.对由三层AlGaAs/GaAs构成的CQW,CQWW与CQD进行了数值计算,并对界面光学声子频率对体系的波矢与量子数的信赖关系进行了分析,特别是对波矢与量子数趋于0与无穷大两个极端情况从数学与物理上进行了合理的解释与说明.
By using the transfer matrix method, within a framework of the dielectric continuum(DC) approximation, uniform descriptions for the interface optical (IO) phonon modes as well as the corresponding electron-IO phonon interaction Hamiltonians in n-layer coupling reduceddimensionality systems (including the coupling quantum well (CQW), coupling quantum-well wire(CQWW) and coupling quantum dot (CQD) have been presented. Numerical calculations on a three-layer AlGaAs/GaAs systems placed in vacuum are performed, and the dependences of the IO phonon frequencies on the wave-vector or the quantum number in these systems are presented.Especial for the case of that the wave-vector or the quantum number approach 0 and infinity,reasonable explanations from the viewpoints of mathmetics and physics are given, respectively.
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