Symmetry as a foundational concept in Quantum Mechanics
2015
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.
Keywords:
- Consistent histories
- Quantum mechanics
- Minority interpretations of quantum mechanics
- Relational quantum mechanics
- Interpretations of quantum mechanics
- Quantum information science
- Open quantum system
- Quantum dynamics
- Pure mathematics
- Quantum statistical mechanics
- Mathematics
- Theoretical physics
- Quantum probability
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