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arxiv: math-ph/0110016 · v2 · submitted 2001-10-12 · 🧮 math-ph · hep-th· math.MP· quant-ph

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Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum

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classification 🧮 math-ph hep-thmath.MPquant-ph
keywords completenon-hermitianspectrumadmittingbiorthonormalcharacterizatioconditioneigenvectors
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We give a necessary and sufficient condition for the reality of the spectrum of a non-Hermitian Hamiltonian admitting a complete set of biorthonormal eigenvectors.

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