Physics - Publications

Permanent URI for this collection

https://dspace.uohyd.ac.in/handle/1/12

Browse

Browsing Physics - Publications by Subject "11.10.Nx"
  • Item
    Supersymmetric quantum mechanics on non-commutative plane
    ( 2004-06-10) Harikumar, E. ; Kumar, V. Sunil ; Khare, Avinash
    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). © 2004 Elsevier B.V. All rights reserved.