Comments on dihedral and supersymmetric extensions of a family of Hamiltonians on a plane
Quesne, C.
Original · EN
For any odd k, a connection is established between the dihedral and supersymmetric extensions of the Tremblay-Turbiner-Winternitz Hamiltonians Hₖ on a plane. For this purpose, the elements of the dihedral group D₂ₖ 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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