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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 2012 · math-phShow all

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math-ph2012

Spectral Singularities Do Not Correspond to Bound States in the Continuum

Ali Mostafazadeh

We show that, contrary to a claim made in arXiv:1011.0645, the von Neumann-Winger bound states that lie in the continuum of the scattering states are fundamentally different from N…

math-ph2012★ 169 cited

Invisibility and PT-symmetry

Ali Mostafazadeh

For a general complex scattering potential defined on a real line, we show that the equations governing invisibility of the potential are invariant under the combined action of par…

math-ph2012★ 41 cited

Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators

Ali Mostafazadeh

We extend the formulation of pseudo-Hermitian quantum mechanics to eta-pseudo-Hermitian Hamiltonian operators H with an unbounded metric operator eta. In particular, we give the de…