An analytical solution to the problem of wave transport of matter through composite hyper-fine barriers is constructed. It is shown that, for a composite membrane consisting of two identical ultra-thin layers, there are always distances between the layers at which the resonant passage of one of the components is realized. Resonance makes it possible to separate de Broiler waves of particles with the same properties, which differ only in masses. Broad bands of hyper-selective separation of a hydrogen isotope mixture are found at the temperature of 40 K.

中文翻译：

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氢同位素通过二维材料复合膜问题的分析解决方案

构建了物质通过复合超细障碍的波传输问题的解析解。结果表明，对于由两个相同的超薄层组成的复合膜，层与层之间总是存在一定距离，在该距离处其中一个组分能够实现共振通过。共振使得分离具有相同特性的粒子的 de Broiler 波成为可能，这些粒子仅在质量上有所不同。在 40 K 的温度下发现了氢同位素混合物的宽带超选择性分离。