Zero width resonance (spectral singularity) in a complexPT-symmetric potential
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Publication:3402103
DOI10.1088/1751-8113/42/47/472005zbMath1181.81102arXiv0908.2876OpenAlexW1965742930MaRDI QIDQ3402103
Publication date: 2 February 2010
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.2876
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05)
Related Items (12)
Accidental crossing of energy eigenvalues in \(\mathcal{P}T\)-symmetric Natanzon-class potentials ⋮ Time evolution for quantum systems with a dynamical Hilbert space ⋮ \({\mathcal {PT}}\) symmetry in Natanzon-class potentials ⋮ Analytical solutions for the radial Scarf II potential ⋮ Scattering amplitudes for the rationally extended \(PT\) symmetric complex potentials ⋮ Various scattering properties of a new PT-symmetric non-Hermitian potential ⋮ Reciprocity and unitarity in scattering from a non-Hermitian complex PT-symmetric potential ⋮ Real discrete spectrum in the complex non-PT-symmetric Scarf II potential ⋮ Spectral singularities for non-Hermitian one-dimensional Hamiltonians: Puzzles with resolution of identity ⋮ Anomalous Faraday effect in a \(\mathcal{PT}\)-symmetric dielectric slab ⋮ Construction of potentials with multiple spectral singularities ⋮ Spacing gain and absorption in a simple $ \newcommand{\PT}{\mathcal{PT}} \PT$ -symmetric model: spectral singularities and ladders of eigenvalues and resonances
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