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

Gabriel Costa Vieira Arantes

Polytechnic and Arts School, Pontifical Catholic University of Goiás, Brazil.

Clóves Gonçalves Rodrigues *

Polytechnic and Arts School, Pontifical Catholic University of Goiás, Brazil.

*Author to whom correspondence should be addressed.


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.

Keywords: Quantum physics, infinite sets, countable sets, uncountable sets, real analysis


How to Cite

Arantes, Gabriel Costa Vieira, and Clóves Gonçalves Rodrigues. 2023. “Quantum Physics in the Context of Countable and Uncountable Infinite Sets from the Perspective of Real Analysis”. Physical Science International Journal 27 (6):65-74. https://doi.org/10.9734/psij/2023/v27i6814.

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