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An explicitly solvable model of the spontaneous PT-symmetry breaking

Vit Jakubsky·Miloslav Znojil
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Abstract

We contemplate the pair of the purely imaginary delta-function potentials on a finite interval with Dirichlet boundary conditions. The two parameter model exhibits nicely the expected quantitative features of the unavoided level crossing and of a "phase-transition" complexification of the energies. Combining analytic and numerical techniques we investigate strength- and position-dependence of its spectrum.

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Vit Jakubsky, Miloslav Znojil. 2005-07-14. An explicitly solvable model of the spontaneous PT-symmetry breaking. https://doi.org/10.1007/s10582-005-0115-x

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