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Complexified PSUSY and SSUSY interpretations of some PT-symmetric Hamiltonians possessing two series of real energy eigenvalues

par Bagchi, Bijan;Mallik, Sadek Hossain;Quesne, Christiane
Référence International journal of modern physics A, 17, 1, page (51-72)
Publication Publié, 2002-01

Article révisé par les pairs

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Résumé :

We analyze a set of three PT-symmetric complex potentials, namely harmonic oscillator, generalized Pöschl-Teller and Scarf II, all of which reveal a double series of energy levels along with the corresponding superpotential. Inspired by the fact that two superpotentials reside naturally in order-two parasupersymmetry (PSUSY) and second-derivative supersymmetry (SSUSY) schemes, we complexify their frameworks to successfully account for the three potentials.