Coupled-channel version of PT-symmetric square well
arXiv:quant-ph/0511085 · doi:10.1088/0305-4470/39/2/014
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)