基于Riemannian geometry的相对论力学变分公式及其在量子力学中的应用
A variational formulation for relativistic mechanics based on Riemannian geometry and its application to the quantum mechanics context
摘要：
本文发展了一个适用于量子力学背景的相对论性质的变分公式。主要结果是通过黎曼几何的基本概念得到的。诸如向量场和连接之类的标准定义在主动作建立中具有基本作用。在最后一节中，作为对主要公式的近似结果，我们得到了相对论性Klein-Gordon方程。
英文摘要：
This article develops a variational formulation of relativistic nature applicable to the quantum mechanics context. The main results are obtained through basic concepts on Riemannian geometry. Standards definitions such as vector fields and connection have a fundamental role in the main action establishment. In the last section, as a result of an approximation for the main formulation, we obtain the relativistic Klein-Gordon equation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
