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arXiv · 1602.06279

Pauli equation on noncommutative plane and the Seiberg-Witten map

Aslam Halder·Sunandan Gangopadhyay
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Abstract

We study the Pauli equation in noncommutative two dimensional plane which exhibits the supersymmetry algebra when the gyro-magnetic ratio is $2$. The significance of the Seiberg-Witten map in this context is discussed and its effect in the problem is incorporated to all orders in $\theta$. We map the noncommutative problem to an equivalent commutative problem by using a set of generalised Bopp-shift transformations containing a scaling parameter. The energy spectrum of the noncommutative Pauli Hamiltonian is obtained and found to be $\theta$ corrected which is valid to all orders in $\theta$.

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Aslam Halder, Sunandan Gangopadhyay. 2016-02-18. Pauli equation on noncommutative plane and the Seiberg-Witten map. https://doi.org/10.1142/s0217732316500875

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