相对论物质波及其对超导电性的解释：基于平等性原理

Relativistic Matter Wave and Its Explanation to Superconductivity: Based on the Equality Principle

摘要: 相对论物质波为超导体中的量子强关联体系的研究提供了一个基本概念。本文通过研究电子碰撞过程中相对论物质波的相位变化，推导出了强关联电子体系的相互作用公式，并对其在超导体中的有效性进行了检验。我们对超导能隙的计算与典型的21种超导体的实验结果吻合得很好。此外，这个相互作用公式清楚地表明，在极低温度下，某些电子与晶格的碰撞将变得既无能量增益又无能量损失，从而为超导机制的研究提供了新的思路。另外，我们提出，相对论物质波是建立在平等性原理基础上的基本概念，从而使得我们的超导理论有更加扎实的理论基础。

Abstract: Relativistic matter waves provide a basic concept for the study of quantum strongly correlated systems in superconductors. In this paper, by studying the phase change of relativistic matter wave in the process of electron collision, the interaction formula of strongly correlated electron system is derived, and its validity in superconductor is checked. Our calculation of energy gap agrees well with experiments for 21 typical superconductors. Moreover, this formula clearly indicates that some electrons colliding with crystal lattice will become no gain and no loss in energy at extremely low temperatures. It provides a new way to study the mechanism of superconductivity. In addition, we put forward that relativistic matter wave is a basic concept based on the equality principle, which makes our superconductivity theory have a more solid theoretical foundation.