Degeneracy of Schrodinger equation with potential $1/r$ in   $d$-dimensions
  Using the irreducible representations of the group $SO(d+1)$, we discuss the degeneracy symmetry of hydrogen atom in $d$-dimensions and calculate its energy spectrum as well as the correspouding degeneracy. We show that $SO(d+1)$ is the energy spectrum generating group 
M. A. Jafarizadeh, H. Goudarzi