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

Physics – Mathematical Physics

Scientific paper

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Revised version, accepted for publication in J. Math. Phys

Scientific paper

10.1063/1.1461427

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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