1205.6629 (Naoyuki Sugimoto et al.)

Conservation law in noncommutative geometry -- Application to spin-orbit
coupled systems    [PDF]

Naoyuki Sugimoto, Naoto Nagaosa

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.

View original: http://arxiv.org/abs/1205.6629