Stern A
Department of Physics, University of Alabama, Tuscaloosa, Alabama 35487, USA.
Phys Rev Lett. 2008 Feb 15;100(6):061601. doi: 10.1103/PhysRevLett.100.061601. Epub 2008 Feb 14.
We construct a perturbative solution to classical noncommutative gauge theory on R3 minus the origin using the Groenewald-Moyal star product. The result describes a noncommutative point charge. Applying it to the quantum mechanics of the noncommutative hydrogen atom gives shifts in the 1S hyperfine splitting which are first order in the noncommutativity parameter.
我们使用格罗内沃尔德 - 莫亚尔星积构造了一个关于(R^3)减去原点的经典非对易规范理论的微扰解。结果描述了一个非对易点电荷。将其应用于非对易氢原子的量子力学,给出了在非对易参数中为一阶的(1S)超精细分裂的位移。