Conservation law in noncommutative geometry -- Application to spin-orbit coupled systems
Mathematical Physics
2012-05-31 v1 Mesoscale and Nanoscale Physics
math.MP
Abstract
The quantization scheme by noncommutative geometry developed in string theory is applied to establish the conservation law of twisted spin and spin current densities in the spin-orbit coupled systems. Starting from the pedagogical introduction to Hopf algebra and deformation quantization, the detailed derivation of the conservation law is given.
Keywords
Cite
@article{arxiv.1205.6629,
title = {Conservation law in noncommutative geometry -- Application to spin-orbit coupled systems},
author = {Naoyuki Sugimoto and Naoto Nagaosa},
journal= {arXiv preprint arXiv:1205.6629},
year = {2012}
}