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利用准玻色子方法发展的激子动力学方程是研究半导体纳米结构中激子超快动力学的有效理论手段.为了将这种方法应用于半导体量子阱,需要知道量子阱中的激子波函数及其在动量空间的表示,从而得到激子动力学方程中所必须的系数.详细讨论了理想和实际量子阱中的激子波函数,特别是其在动量空间的表示,并进一步讨论了激子动力学方程中所必须系数的计算方法.通过求解这些系数,对量子阱中因激子密度变化而引起的太赫兹脉冲作用下激子能级间跃迁过程中的非线性效应进行了理论预测,得到了与实验符合很好的结果.
The exciton kinetic equation developed by the quasi-boson method is an effective theoretical method for studying the ultrafast dynamics of excitons in semiconductor nanostructures. To apply this method to semiconductor quantum wells, it is necessary to know the exciton waves in quantum wells Functions and their representations in the momentum space to obtain the necessary coefficients in the exciton dynamics equations.The excimer wave functions in ideal and actual quantum wells are discussed in detail and in particular their representations in the momentum space are discussed further The calculation of the necessary coefficients in the exciton kinetic equation can be solved by solving these coefficients and the theory of the nonlinear effect during the transition between exciton energy levels due to the terahertz wave in the quantum well The predictions have yielded good results in good agreement with the experiment.