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

par Quesne, Christiane
Référence Modern physics letters A, 25, 27, page (2373-2380)
Publication Publié, 2010-09

Article révisé par les pairs

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Résumé :

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. © 2010 World Scientific Publishing Company.