Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum

By Ali Mostafazadeh. 2001

750 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2a4267f4d3f999ae17e1afe4d42de643e847da3b

Citations in the corpus

• The ODE/IM correspondence (2001, neutral): “Bender and Boettcher’s observation [23] has sparked a great deal of interest in reality properties in non-Hermitian quantum mechanics; a (small) sample of related work on the reality issue is provided by [52–112].”