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arXiv · 1605.09638

Two-particle system in noncommutative space with preserved rotational symmetry

Kh. P. Gnatenko·V. M. Tkachuk
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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.

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Kh. P. Gnatenko, V. M. Tkachuk. 2016-05-31. Two-particle system in noncommutative space with preserved rotational symmetry. https://doi.org/10.15407/ujpe61.05.0432

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