Noncommutative quantum mechanics from noncommutative quantum field theory.
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 SU(5) grand unified theory.
Ho
Pei-Ming
PM
Department of Physics, National Taiwan University, Taipei, Taiwan, Republic of China. pmho@phys.ntu.edu.tw
Kao
Hsien-Chung
HC