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19932026
most citedPseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

1.7k citations · 9.9k across the 185 of their papers we have counts for

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Showing 2009 · math-phShow all

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math-ph2009★ 492 cited

Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at real Energies

Ali Mostafazadeh

Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify spectral singularities of c…

math-ph2009★ 97 cited

Spectral Singularities, Biorthonormal Systems, and a Two-Parameter Family of Complex Point Interactions

Ali Mostafazadeh, Hossein Mehri-Dehnavi

A curious feature of complex scattering potentials v(x) is the appearance of spectral singularities. We offer a quantitative description of spectral singularities that identifies t…