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.

Downloads

Download data is not yet available.

Downloads

Published

2007-01-02

Issue

Vol. 47 No. 2-3 (2007)

Section

Articles

License

Authors who publish with this journal agree to the following terms:

1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).

4. ddd

How to Cite

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