Comments on dihedral and supersymmetric extensions of a family of Hamiltonians on a plane

Details Comments on dihedral and supersymmetric extensions of a family of Hamiltonians on a plane Comments on dihedral and supersymmetric extensions of a family of Hamiltonians on a plane

2010-05-21

arxiv.org/abs/1005.3954v2

Mod.Phys.Lett.A25:2373-2380,2010

Physics

Mathematical Physics

10 pages, no figure, acknowledgments added, references completed, published version

Scientific paper

10.1142/S0217732310033700

For any odd $k$, a connection is established between the dihedral and supersymmetric extensions of the Tremblay-Turbiner-Winternitz Hamiltonians $H_k$ on a plane. For this purpose, the elements of the dihedral group $D_{2k}$ are realized in terms of two independent pairs of fermionic creation and annihilation operators and some interesting trigonometric identities are demonstrated.

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