论文标题
Wigner-Wilkins中子/核散射核量子机械衍生
Wigner-Wilkins neutron/nucleus scattering kernel quantum-mechanically derived
论文作者
论文摘要
我们在此承诺根据量子力学中的自包含的计算，在中子热化理论的基础上得出了Wigner-Wilkins [W-W]中子/核散射内核。实际上，文献中可以在文献中获得W-W内核的量子力学推导，但在我们看来，这是由于过度通用性而被剥夺了信念。相比之下，在这里，我们沿着一个独立的路线进行，依靠费米的伪能力和一阶术语在时间依赖于时期的诞生近似序列中。我们的计算在每个步骤中都完全明确，尤其是我们在其每个细节中都解决了最终集成，其结果仅在可用文献中列出。此外，也许是最重要的一点，我们证明了量子力学的W-W内核结果与最后一个IOTA相同，及其经典的先例，不仅是由于历史优先级的，而且还基于古典牛顿力学。
We undertake herein to derive the Wigner-Wilkins [W-W] neutron/nucleus scattering kernel, a foundation stone in neutron thermalization theory, on the basis of a self-contained calculation in quantum mechanics. Indeed, a quantum-mechanical derivation of the W-W kernel is available in the literature, cited below, but it is, in our opinion, robbed of conviction by being couched in terms of an excessive generality. Here, by contrast, we proceed along a self-contained route relying on the Fermi pseudopotential and a first-order term in a time-dependent Born approximation series. Our calculations are fully explicit at every step and, in particular, we tackle in its every detail a final integration whose result is merely stated in the available literature. Furthermore, and perhaps the most important point of all, we demonstrate that the quantum-mechanical W-W kernel outcome is identical down to the last iota with its classical antecedent, classical not only by virtue of historical precedence but also by being based on classical Newtonian mechanics.
