The effect of magnetic field on the properties of the excitons is calculated using the finite-difference method within the quasi-one-dimensional effective potential model. The effects due to the magnetic filed and quantum confinements on the binding energies and the distance between electron and hole are analyzed, and the following results are found : ( 1 ) the magnetic field leads to a increase of the binding energy, and the magnetic field dependence of the binding energy is correlative to the harmonic oscillator length, that the influence of the magnetic field is stronger in small quantum confinement than that in large one ; (2) the distance between electron and hole is reduced by the magnetic field.%采用差分的方法在准一维有效势模型下对抛物型量子阱线中激子性质受到磁场的影响进行了计算,分析了磁场对量子阱线中激子的束缚能以及电子和空穴之间的平均距离作用.结果表明:外加磁场会增加量子阱线中激子的束缚能,并且磁场对束缚能的作用会受到量子约束势的影响,在量子约束势较弱时磁场的影响较大,量子约束势较强时磁场的影响较小;外加磁场会减小电子和空穴间的平均距离.
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