PT-symmetric Quantum Chain Models

Authors

  • M. Znojil

DOI:

https://doi.org/10.14311/918

Keywords:

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

Abstract

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.

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Published

2007-01-02

How to Cite

Znojil, M. (2007). PT-symmetric Quantum Chain Models. Acta Polytechnica, 47(2-3). https://doi.org/10.14311/918

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Section

Articles