PT-symmetric Quantum Chain Models

M. Znojil


A review is given of certain tridiagonal N-dimensional non-Hermitian J-parametric real-matrix quantum Hamiltonians H(N). The domains Ɗ(N) of reality of their spectra of energies are studied, with particular attention paid to their exceptional-point boundaries ∂Ɗ(N).

The strongest admissible couplings are specified in closed form for all N.


quantum mechanics; pseudohermitian Hamiltonians; PT-symmetric nearest-neighbor interactions; exactly solvable finite-dimensional models; domains of quasihermiticity; exceptional points

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague