Symmetry as a foundational concept in Quantum Mechanics

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Ziaeepour, Houri^1

Institut UTINAM-CNRS, Université de Franche Comté, Besançon, France^1

关键词: Fundamental concepts;    ITS applications;    Physical systems;    Quantum cosmology;    Quantum system;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012074/pdf
DOI  :  10.1088/1742-6596/626/1/012074

学科分类：力学，机械学

来源: IOP

【 摘 要 】

Symmetries are widely used in modeling quantum systems but they do not contribute in postulates of quantum mechanics. Here we argue that logical, mathematical, and observational evidence require that symmetry should be considered as a fundamental concept in the construction of physical systems. Based on this idea, we propose a series of postulates for describing quantum systems, and establish their relation and correspondence with axioms of standard quantum mechanics. Through some examples we show that this reformulation helps better understand some of ambiguities of standard description. Nonetheless its application is not limited to explaining confusing concept and it may be a necessary step toward a consistent model of quantum cosmology and gravity.