2D Schr\"odinger Equation with Mixed Potential in Noncommutaive Complex space
Quantum Physics
2016-03-04 v2
Abstract
We obtain exact solutions of the 2D Schr\"odinger 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 Schr\"odinger 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.
Cite
@article{arxiv.1410.0399,
title = {2D Schr\"odinger Equation with Mixed Potential in Noncommutaive Complex space},
author = {Slimane Zaim and Hakim Guelmamene},
journal= {arXiv preprint arXiv:1410.0399},
year = {2016}
}
Comments
9 pages. arXiv admin note: substantial text overlap with arXiv:1409.5703