2016/05/01 by Kh. P. Gnatenko, Kh.P. Gnatenko, V. M. Tkachuk +1
Physics and Astronomy · #Hydrogen atom #Motion (physics) #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Order (exchange) #Position (finance) #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Space (punctuation) #Symmetry (geometry) #hep-th #quant-ph
paper · pdf · doi:10.15407/ujpe61.05.0432
published as Ukr. J. Phys. 61, No. 5, 432-439 (2016) · accepted for publication in Ukrainian Journal of Physics
openalex publication_date 2016/05/01 · arxiv created 2016/05/31 · arxiv updated 2016/06/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.