Classical nonintegrability of a quantum chaotic SU(3) Hamiltonian system
Adam Sawicki, Marek Ku\'s
TL;DR
This paper demonstrates the nonintegrability of a specific SU(3) Hamiltonian system, providing insights into the classical-quantum chaos relationship by establishing its chaotic nature.
Contribution
It proves the classical nonintegrability of a quantum chaotic SU(3) Hamiltonian, advancing understanding of classical-quantum chaos connections.
Findings
Proves nonintegrability of the SU(3) Hamiltonian system
Establishes the system's classical chaos characteristics
Links classical chaos to quantum properties
Abstract
We prove nonintegrability of a model Hamiltonian system defined on the Lie algebra suitable for investigation of connections between classical and quantum characteristics of chaos.
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