Quantum Physics in the Context of Countable and Uncountable Infinite Sets from the Perspective of Real Analysis

Gabriel Costa Vieira Arantes, Clóves Gonçalves Rodrigues
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Abstract

This study aims to investigate countable and uncountable infinite sets from the perspective of real analysis. Key theorems and definitions related to this topic are presented, along with some specific applications in quantum physics, such as the quantization of energy, the relationships between the discrete and the continuous, and the hypothesis of the linearity of the Schrödinger wave equation.
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从实数分析的角度看可数和不可数无限集背景下的量子物理学
本研究旨在从实数分析的角度研究可数和不可数无限集。书中介绍了与这一主题相关的关键定理和定义,以及量子物理学中的一些具体应用,如能量的量子化、离散与连续之间的关系,以及薛定谔波方程的线性假设。
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