We study the scattering of electrons and positrons by argon and krypton atoms considering a generalized uncertainty principle (GUP). To proceed, we first prove the modified non-relativistic wave equation due to the minimal length in the GUP framework and then determine the wave function of incident particles applying a scattering potential including the static and the energy-dependent correlation–polarization contributions. Finally, we compute the transmission and reflection probabilities from potential barrier. It will be shown that some exotic phenomena occur in this framework which cannot be justified by the ordinary quantum mechanics.

中文翻译：

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GUP框架中氩和对电子和正电子的散射

考虑到广义不确定性原理（GUP），我们研究了氩和k原子对电子和正电子的散射。为了继续进行，我们首先证明了由于GUP框架中的最小长度而导致的修改后的非相对论波动方程，然后确定了应用散射势的入射粒子的波函数，其中包括静态和能量相关的相关极化极化贡献。最后，我们计算势垒的透射和反射概率。将显示出在该框架中发生了一些外来现象，这些现象是普通量子力学无法证明的。