Irreversible evolution of a charged spin 1/2 particle analyzed on the basis of subdynamics theory

TL;DR

This paper investigates the irreversible evolution of a charged spin 1/2 particle in a magnetic field using subdynamics theory and complex spectral analysis, highlighting both Markovian and non-Markovian dynamics.

Contribution

It applies subdynamics theory and complex spectral methods to analyze irreversibility in quantum spin dynamics, providing a detailed relaxation process description.

Findings

Characterization of irreversible relaxation in spin 1/2 particles

Analysis of Markovian and non-Markovian evolution

Rigorous description of irreversibility based on Prigogine's principles

Abstract

The time evolution of a charged spin 1/2 particle interacting with a magnetic field is analyzed in the framework of the complex spectral theory, based on Prigogine's principles that provide a rigorous description of irreversibility. A detailed survey of the irreversible relaxation process of the spin 1/2 particle is carried out on the basis of the subdynamics theory. We obtain the results for the Markovian and the non-Markovian evolution of the charged particle.