论文标题
有限体积散射的神话
Myth of scattering in finite volume
论文作者
论文摘要
在此注释中，我们说明了为什么在制定有限体积的少数体量化条件时，无限体积散射幅度实际上是可分配的。仅相关的子过程幅度仅是量化条件的必不可少的和基本要素。确定这些成分后，可以单独计算无限的体积散射幅度。基本原因是基于（1）最终物理过程是由所有子过程或粒子之间的相互作用产生的； （2）有限体积中量化条件的最终目标是找到几个体系的固定解决方案。也就是说，最后，这一切都取决于解决特征值问题的解决，$ \ hat {h} | n \ rangle = e_n | n \ rangle $。
In this notes, we illustrate why the infinite volume scattering amplitude is in fact dispensable when it comes to formulating few-body quantization condition in finite volume. Only subprocess interactions or interactions associated subprocess amplitudes are essential and fundamental ingredients of quantization conditions. After these ingredients are determined, infinite volume scattering amplitude can be computed separately. The underlying reasons are rooted in facts that (1) the final physical process is generated by all subprocess or interactions among particles; (2) the ultimate goal of quantization condition in finite volume is to find stationary solutions of few-body system. That is to say, in the end, it all comes down to the solving of eigenvalue problem, $\hat{H} | n \rangle = E_n | n \rangle $.
