Harikumar, E. ; Sunil Kumar, V. ; Khare, Avinash (2004) Supersymmetric quantum mechanics on non-commutative plane Physics Letters B: Nuclear Physics and Particle Physics, 589 (3-4). pp. 155-161. ISSN 0370-2693
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03702...
Related URL: http://dx.doi.org/10.1016/j.physletb.2004.03.042
Abstract
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 θ in case the gyro-magnetic ratio g is 2. Using Seiberg-Witten map, the first order in θ 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+Bθ).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Non-commutative Plane; Supersymmetry; Pauli Equation |
| ID Code: | 17723 |
| Deposited On: | 16 Nov 2010 12:48 |
| Last Modified: | 17 May 2016 02:20 |
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