Pauli equation on noncommutative plane and the Seiberg-Witten map

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 $\theta$.

arXiv comment9 pages

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Cited by in corpus (5)

• Two-dimensional pauli equation in noncommutative phase-space
• Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field
• Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
• Supersymmetric Quantum Mechanics on a noncommutative plane through the lens of deformation quantization
• Pauli energy spectrum for twist-deformed space-time