Coupled-channel version of PT-symmetric square well

Details Coupled-channel version of PT-symmetric square well Coupled-channel version of PT-symmetric square well

2005-11-09

arxiv.org/abs/quant-ph/0511085v1

J.Phys. A39 (2006) 441-456

Physics

Quantum Physics

22 pp., to appear in J. Phys. A: Math. Gen. Also to be presented during the conference `The physics of non-Hermitian operators

Scientific paper

10.1088/0305-4470/39/2/014

Coupled pair of PT-symmetric square wells is studied as a prototype of a quantum system characterized by two manifestly non-Hermitian commuting observables. We demonstrate that there exists a domain of couplings where both the respective sets of eigenvalues (viz., energies and spin projections) remain real and where the model acquires a consistent probabilistic interpretation mediated by an `ad hoc' scalar product.

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