Dynamical systems where time is a quantum group and quantum ergodicity
S.V.Kozyrev
TL;DR
This paper introduces a novel framework for dynamical systems with noncommutative quantum group time, defining quantum ergodicity within this context and exploring relevant examples.
Contribution
It presents the first formal definition of quantum ergodicity for systems where time is a quantum group, expanding the scope of dynamical systems theory.
Findings
Defined quantum ergodicity for noncommutative time systems
Provided examples illustrating the concept
Extended classical ergodic theory to quantum group time
Abstract
We define dynamical systems where time is a quantum group. We give the definition of quantum ergodicity for the introduced dynamical system with noncommutative (or quantum) time, and discuss the examples.
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Taxonomy
TopicsQuantum Mechanics and Applications · advanced mathematical theories · Noncommutative and Quantum Gravity Theories