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Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach

B. Bagchi, C. Quesne

math-pharXiv:math-ph/0209031

Abstract

Potential algebras are extended from Hermitian to non-Hermitian Hamiltonians and shown to provide an elegant method for studying the transition from real to complex eigenvalues for a class of non-Hermitian Hamiltonians associated with the complex Lie algebra A1.

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