Supersymmetric quantum mechanics on non-commutative plane

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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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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