Lamb shift and Stark effect in simultaneous space-space and momentum-momentum noncommutative quantum mechanics and $\theta$-deformed $su(2)$ algebra

Abstract

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 [1]. We also study the algebras of abservables of systems of identical particles in s-s, p-p noncommutative quantum mechanics. We intoduce $\theta$-deformed $su(2)$ algebra.

7 pages, no figure

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• Dynamical Noncommutative Graphene
• Upper bound on the momentum scale in noncommutative phase space of canonical type
• Kinematic variables in noncommutative phase space and parameters of noncommutativity
• Noncommutative phase space with rotational symmetry and hydrogen atom
• Perturbation of the ns energy levels of the hydrogen atom in rotationally invariant noncommutative space
• Noncommutative momentum and torsional regularization
• Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle
• Phase Space Non-commutativity and its Stability