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

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.