Abstract Dynamical Systems: Remarks on Symmetries and Reduction
Giuseppe Marmo, Alessandro Zampini
TL;DR
This paper reviews how algebraic formulations of physical systems facilitate reduction procedures in classical and quantum dynamics, highlighting the role of symmetries in simplifying complex systems.
Contribution
It introduces a unified algebraic approach to reduction in classical and quantum dynamical systems, emphasizing the importance of symmetries.
Findings
Algebraic formulation enables systematic reduction.
Symmetries play a crucial role in simplifying dynamics.
Applicable to both classical and quantum systems.
Abstract
We review how an algebraic formulation for the dynamics of a physical system allows to describe a reduction procedure for both classical and quantum evolutions.
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