Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework
Bijan Kumar Bagchi, C. Quesne
We show that complex Lie algebras (in particular sl(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. PACS: 02.20.Sv; 03.65.Fd; 03.65.Ge
•Jan 1, 2002•78 citations