Revisiting quantum relativistic effects from phase transition by the catastrophe theory
发布时间：2025-04-30
点击次数：
- 发布时间：
- 2025-04-30
- 论文名称：
- Revisiting quantum relativistic effects from phase transition by the catastrophe theory
- 发表刊物：
- Europhysics Letters
- 摘要：
- 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 theory 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.
- 合写作者：
- Jiu Hui Wu, Kejiang Zhou, and Shaokun Yang
- 卷号：
- Vol.139, 2022
- 页面范围：
- 58001 (3 Pages)
- 是否译文：
- 否
- 发表时间：
- 2022-08-04