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

2001/10/31 by Ali Mostafazadeh · 1 citation
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP #quant-ph

paper · pdf · doi:10.1063/1.1461427

published as J.Math.Phys.43:2814-2816,2002 · Revised version, accepted for publication in J. Math. Phys

arxiv created 2002/01/16 · arxiv updated 2011/05/05

Abstract

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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