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Open Quantum Systems Decoherence
2D Schrödinger Equation with Mixed Potential in Noncommutaive Complex space
arXiv
Authors: Slimane Zaim, Hakim Guelmamene
Year
2014
Paper ID
47207
Status
Preprint
Abstract Read
~2 min
Abstract Words
92
Citations
N/A
Abstract
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.
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- 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...
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