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Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework

par Bagchi, Bijan;Quesne, Christiane
Référence Physics letters. A, 300, 1, page (18-26)
Publication Publié, 2002-07

Article révisé par les pairs

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Résumé :

We show that complex Lie algebras (in particular s1(2, ℂ)) provide us with an elegant method for studying the transition from real to complex eigenvalues of a class of non-Hermitian Hamiltonians: complexified Scarf II, generalized Pöschl-Teller, and Morse. The characterizations of these Hamiltonians under the so-called pseudo-Hermiticity are also discussed. © 2002 Elsevier Science B.V. All rights reserved.