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

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.

References in corpus (3)

• Non-Abelian hydrodynamics and the flow of spin in spin-orbit coupled substances
• A no-pure-boost uncertainty principle from spacetime noncommutativity
• First results of the Noether theorem for Hopf-algebra spacetime symmetries

Cited by in corpus (1)

• Gradient expansion of the non-Abelian gauge-covariant Moyal star-product