Supersymmetric Quantum Mechanics on Non-Commutative Plane

Details Supersymmetric Quantum Mechanics on Non-Commutative Plane Supersymmetric Quantum Mechanics on Non-Commutative Plane

2004-02-07

arxiv.org/abs/hep-th/0402064v2

Phys.Lett. B589 (2004) 155-161

Physics

High Energy Physics

High Energy Physics - Theory

11 Pages, references added

Scientific paper

We study the Pauli equation on non-commutative plane. It is shown that the Supersymmetry algebra holds to all orders in the non-commutative parameter $\theta$ in case the gyro-magnetic ratio $g$ is 2. Using Seiberg-Witten map, the first order in $\theta$ correction to the spectrum is obtained in the case of uniform magnetic field. We find that the eigenstates in the non-commutative case are identical to the commutative case provided the magnetic field $B$ is everywhere replaced by $B(1+B\theta)$.

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