Two-Particle System in Noncommutative Space with Preserved Rotational Symmetry
Keywords:noncommutative space, rotational symmetry, two-particle system, hydrogen atom
We consider a system of two particles in the 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 a noncommutative algebra with corresponding effective tensors of noncommutativity. A hydrogen atom is studied as a two-particle system. We have found the corrections to the energy levels of the hydrogen atom up to the second order in the parameter of noncommutativity.
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