We study the spectrum of hydrogen atom, Lamb shift and Stark effect in the framework of simultaneous space–space and momentum–momentum (s-s, p-p) noncommutative quantum mechanics. The results show that the widths of Lamb shift due to noncommutativity is bigger than the one presented in Ref. 1. We also study the algebras of observables of systems of identical particles in s-s, p-p noncommutative quantum mechanics. We introduce θ-deformed su(2) algebra.
LAMB SHIFT AND STARK EFFECT IN SIMULTANEOUS SPACE–SPACE AND MOMENTUM–MOMENTUM NONCOMMUTATIVE QUANTUM MECHANICS AND θ-DEFORMED su(2) ALGEBRA
