2014/10/01 by Slimane Zaim, Zaim, Slimane, Hakim Guelmamene +1
Mathematics · Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #advanced mathematical theories #quant-ph
paper · pdf · doi:10.48550/arxiv.1410.0399
9 pages. arXiv admin note: substantial text overlap with arXiv:1409.5703
arxiv created 2016/03/02 · arxiv updated 2016/03/04
We obtain exact solutions of the 2D Schrödinger equation for Hydrogen atom with the lenear and Harmonic Potentials in noncommutative complex space, using the Power-series expansion method. Hence we can say that the Schrödinger equation in noncommutative complex space describes to the particles with spin (1/2)in an external uniform magnitic field. Where the noncommutativity play the role of magnetic field with created the total magnetic moment of particle with spin 1/2, who in turn shifted the spectrum of energy. Such effects are similar to the Zeeman splitting in a commutative space.