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arXiv · 1410.0399

2D Schrödinger Equation with Mixed Potential in Noncommutaive Complex space

Slimane Zaim·Hakim Guelmamene
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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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Slimane Zaim, Hakim Guelmamene. 2016-03-02. 2D Schrödinger Equation with Mixed Potential in Noncommutaive Complex space. https://arxiv.org/abs/1410.0399

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