Abstract
We derive noncommutative multiparticle quantum mechanics from noncommutative quantum field theory in the nonrelativistic limit. Particles of opposite charges are found to have opposite noncommutativity. As a result, there is no noncommutative correction to the hydrogen atom spectrum at the tree level. We also comment on the obstacles to take noncommutative phenomenology seriously and propose a way to construct noncommutative grand unified theory.
- Received 29 October 2001
DOI:https://doi.org/10.1103/PhysRevLett.88.151602
©2002 American Physical Society
