Comments on dihedral and supersymmetric extensions of a family of Hamiltonians on a plane
arXiv:1005.3954 · doi:10.1142/S0217732310033700
Abstract
For any odd , a connection is established between the dihedral and supersymmetric extensions of the Tremblay-Turbiner-Winternitz Hamiltonians on a plane. For this purpose, the elements of the dihedral group are realized in terms of two independent pairs of fermionic creation and annihilation operators and some interesting trigonometric identities are demonstrated.
arXiv comment10 pages, no figure, acknowledgments added, references completed, published version
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