Kinetic formulation of irreversible evolution of the two-nucleus spin systems
S.Eh. Shirmovsky
TL;DR
This paper presents a rigorous kinetic framework for understanding the irreversible evolution of two-nucleus spin systems, specifically H(1) and C(13), under magnetic interactions, including the quantum Zeno effect.
Contribution
It introduces a complex spectral representation of the Liouvillian to rigorously describe irreversibility in spin system evolution.
Findings
Analysis of short and long time evolution of spin systems
Discussion of the quantum Zeno effect in this context
Rigorous kinetic description of irreversibility
Abstract
The time irreversible evolution of the two-nucleus spin systems interacting with a magnetic field is analyzed in the framework of the subdynamics theory. The spin systems are determined by the H(1) and C(13) nuclei. The investigation is based on the complex spectral representation of the Liouvillian which gives a rigorous description of irreversibility. The evolution of the density matrix is analyzed for the short and long time region. Quantum Zeno effect is discussed.
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