Chitra, R. ; Nagaraja Kumar, C. ; Sen, Diptiman (1992) Supersymmetry in the two-anyon problem Modern Physics Letters A, 7 (10). pp. 855-863. ISSN 0217-7323
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Official URL: http://www.worldscinet.com/mpla/07/0710/S021773239...
Related URL: http://dx.doi.org/10.1142/S0217732392003499
Abstract
We show that the problem of two anyons interacting through a simple harmonic potential or a Coulomb potential is supersymmetric. The supersymmetry operators map a theory described by statistics parameter θ to one described by π+θ. Thus fermions and bosons go into each other, while semions are supersymmetric by themselves. The simple harmonic problem has a Sp(4) symmetry for any value of θ which explains the energy degeneracies.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Company. |
| ID Code: | 45604 |
| Deposited On: | 28 Jun 2011 05:39 |
| Last Modified: | 28 Jun 2011 05:39 |
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