Orbital magnetic moment of the electron in the hydrogen atom in deformed space with minimal length

Abstract

We investigated the orbital magnetic moment of electron in the hydrogen atom in deformed space with minimal length. It turned out that corrections to the magnetic moment caused by deformation depend on one parameter in the presence of two-parametric deformation. It is interesting to note that the correction to orbital magnetic moment is similar to the correction that follows from relativistic theory but it has an opposite sign. Using the upper bound for minimal length obtained in previous papers we estimated the upper bound for relative correction to orbital magnetic moment and obtained the value $\sim 10^{-12}$. This is four power less than the relative error for most recent experimental values of Bohr magneton.