Ahmed Al-Jamel, Hatem Widyan, Eqab M. Rabei, The octupole field effect on the H-atom spectrum in Noncommutative space, Adv. Studies Theor. Phys., Vol. 6, 2012, no. 17-20, 887-892.

An expression for the octupole field potential in noncommutative space is obtained and its consequences on the hydrogen atom ground state energy is studied using the Schrodinger perturbation theory. It is found that there is no first-order correction for all states, while there is a nonvanishing second order shift on the ground state energy, from which we extracted the octupole selection rules ? m = ? 3 , ? 1 and ? l =1 , 3.