Scattering theory with localized non-Hermiticities

Details Scattering theory with localized non-Hermiticities Scattering theory with localized non-Hermiticities

2008-05-19

arxiv.org/abs/0805.2800v2

Phys.Rev.D78:025026,2008

Physics

High Energy Physics

High Energy Physics - Theory

22 pp, grammar amended

Scientific paper

10.1103/PhysRevD.78.025026

In the context of the recent interest in solvable models of scattering mediated by non-Hermitian Hamiltonians (cf. H. F. Jones, Phys. Rev. D 76, 125003 (2007)) we show that and how the well known variability of our ad hoc choice of the metric $\Theta$ which defines the physical Hilbert space of states can help us to clarify several apparent paradoxes. We argue that with a suitable $\Theta$ a fully plausible physical picture of the scattering is recovered. Quantitatively, our new recipe is illustrated on an exactly solvable toy model.

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