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A return to observability near exceptional points in a schematic PT-symmetric model

Miloslav Znojil
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Abstract

Many indefinite-metric (often called pseudo-Hermitian or PT-symmetric) quantum models H prove "physical" (i.e., Hermitian with respect to an innovated, ad hoc scalar product) inside a characteristic domain of parameters D. This means that the energies get complex (= unobservable) beyond the boundary (= Kato's "exceptional points", EPs). In a solvable example we detect an enlargement of D caused by the emergence of a new degree of freedom. We conjecture that such a beneficial mechanism of a return to the real spectrum near EPs may be generic and largely model-independent.

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Miloslav Znojil. 2007-01-30. A return to observability near exceptional points in a schematic PT-symmetric model. https://doi.org/10.1016/j.physletb.2007.01.046

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