Spin 1/2 systems perturbed by fluctuating, arbitrary fields; relaxation and frequency shifts, a new approach to Redfield theory

TL;DR

This paper introduces a new approach to analyzing spin 1/2 systems under fluctuating fields by directly solving the Schrödinger equation, providing clearer insights into relaxation and frequency shifts compared to traditional density matrix methods.

Contribution

It presents a novel method based on direct Schrödinger equation solutions for spin relaxation and frequency shifts, clarifying assumptions involved in the process.

Findings

Results agree with established literature

Provides clearer understanding of assumptions involved

Validates the Schrödinger-based approach

Abstract

The usual approach to considerations of apin relaxation and frequency shifts due to fluctuating fields is through the density matrix Slichter. Here we treat the problem of the influence of fluctuating fields on a spin 1/2 system based on direct solution of the Schroedinger equation in contrast to the usual treatment. Our results are seen to be in agreement with the known results in the literature McGregor, Slichter, Red2, CSH, as they must, but our derivation directly from the Schroedinger equation allows us to see the role of the necessary assumptions in a somewhat clearer way.