论文标题
通过灾难理论重新审视相对论的量子相对论效应
Revisiting quantum relativistic effects from phase transition by catastrophe theory
论文作者
论文摘要
在本文中，我们从Schrödinger方程式开始，从相变过程的角度重新审视一些经典的量子力学。在这里，当速度变量增加时，高速移动的颗粒的相对论效应可以被视为相变过程。考虑到灾难模型可以在定性上描述任何相变过程，我们采用最简单的折叠式灾难类型作为Schrödinger方程中的潜在功能，以首先通过无量纲分析获得修订后的Schrödinger相对方程，然后再进一步得出稳定的Klein-gordon-gordOn-gordon方程和迪拉克相对性。这些结果表明，量子相对论效应可以视为相变过程，可以通过采用灾难模型作为经典schrödinger方程中的潜在功能来描述。
In this paper we start from the Schrödinger equation to revisit some classical quantum mechanics from the perspective of phase transition process. Here the relativistic effect of particles moving at high speed can be regarded as the phase transition process when the velocity variable increases. Considering that the catastrophe models could describe qualitatively any phase transition process, we adopt the simplest folding catastrophe type as the potential function in the Schrödinger equation to obtain a revised Schrödinger relativistic equation through the dimensionless analysis first, and then further to derive out the steady-state Klein-Gordon equation and Dirac relativistic equation gradually. These results reveal that the quantum relativistic effect could be considered as the phase transition process, which could be described by adopting the catastrophe models as the potential function in the classical Schrödinger equation.
