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Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework
B BAGCHI
,
C QUESNE
Published in ELSEVIER SCIENCE BV
2002
DOI:
10.1016/S0375-9601(02)00689-8
Volume: 300
Issue: 1
Pages: 18 - 26
Abstract
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.
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Physics Letters, Section A: General, Atomic and Solid State Physics
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ELSEVIER SCIENCE BV
ISSN
0375-9601
Open Access
Yes
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