Coupled-channel version of PT-symmetric square well

Abstract

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.

22 pp., to appear in J. Phys. A: Math. Gen. Also to be presented during the conference `The physics of non-Hermitian operators' (http://academic.sun.ac.za/workshop), the fourth in the series of Workshops `Pseudo-Hermitian Hamiltonians in Quantum Physics' (http://gemma.ujf.cas.cz/~znojil/conf)

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