2D Schrödinger Equation with Singular Even-Power and Inverse-Power Potentials in Non Commutative Complex space

2014/09/19 by Slimane Zaim, Zaim, Slimane, Abdelkader Bahache +1 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Particle physics theoretical and experimental studies #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Spectral Theory in Mathematical Physics #quant-ph

paper · pdf · doi:10.48550/arxiv.1409.5703

14 pages

openalex publication_date 2014/09/19 · arxiv created 2014/10/06 · arxiv updated 2014/10/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We obtain exact solutions of the 2D Schrödinger equation with the Singular Even-Power and Inverse-Power Potentials in non-commutative complex space, using the Power-series expansion method. Hence we can say that the Schrödinger equation in non-commutative 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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• 2D Schrödinger Equation with Mixed Potential in Noncommutaive Complex space

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