Two-particle system in noncommutative space with preserved rotational symmetry

Abstract

We consider a system of two particles in noncommutative space which is rotationally invariant. It is shown that the coordinates of the center-of-mass position and the coordinates of relative motion satisfy noncommutative algebra with corresponding effective tensors of noncommutativity. The hydrogen atom is studied as a two-particle system. We find the corrections to the energy levels of the hydrogen atom up to the second order over the parameter of noncommutativity.

arXiv commentaccepted for publication in Ukrainian Journal of Physics

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Cited by in corpus (7)

• Composite system in rotationally invariant noncommutative phase space
• Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
• 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
• Features of free particles system motion in noncommutative phase space
• Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle