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sl(2,C) as a complex lie algebra and the associated non-Hermitian Hamiltonians with real eigenvaluesPublished in Elsevier
2000
Volume: 273
Issue: 5-6
Pages: 285 - 292
The powerful group theoretical formalism of potential algebras is extended to non-Hermitian Hamiltonians with real eigenvalues by complexifying so(2,1), thereby getting the complex algebra s1(2,C) or A1. This leads to new types of both PT-symmetric and non-PT-symmetric Hamiltonians. (C) 2000 Elsevier Science B.V.
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