We consider position-dependent effective mass particles in double heterostructures, subject to the action of several potentials. A comparative study of the energy spectra of these particles is carried out, emphasizing the effect of different boundary conditions associated with the kinetic energy operator. Energy spectra that cannot be expressed analytically, have been estimated by means of the corresponding reflection coefficient poles. The heterostructure model adopted assumes a middle region, where the potential and mass are some finite distributions of the position, but outside of it its behavior is constant. Finally, we discuss the gain of a double parabolic quantum well in a laser.

中文翻译：

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双异质结构中位置相关质量的能谱

我们考虑双异质结构中位置相关的有效质量粒子，受几个电位的作用。对这些粒子的能谱进行了比较研究，强调了与动能算符相关的不同边界条件的影响。无法通过分析表达的能谱已通过相应的反射系数极点估计。采用的异质结构模型假设一个中间区域，其中势能和质量是位置的一些有限分布，但在它之外它的行为是恒定的。最后，我们讨论了激光器中双抛物线量子阱的增益。