Conditional observability versus self-duality in a schematic model

Details Conditional observability versus self-duality in a schematic model Conditional observability versus self-duality in a schematic model

2007-10-02

arxiv.org/abs/0710.0457v2

J. Phys. A: Math. Theor. 41 (2008) 304027

Physics

Quantum Physics

11 pages, 2 figures

Scientific paper

10.1088/1751-8113/41/30/304027

In a simple PT-symmetric model we demonstrate that and how the violation of a
reflection symmetry $E_j=-E_{N+1-j}$ of the spectrum (called "self-duality" by
Dunne and Shifman) is connected with the loss of the simplicity of the shape of
the boundary of the domain D of parameters where the Hamiltonian H is
quasi-Hermitian, i.e., where all the bound-state energies are real.

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