Open AccessPT-symmetric Quantum Chain Models
Author(s) -
Miloslav Znojil
Publication year - 2007
Publication title -
acta polytechnica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.207
H-Index - 15
eISSN - 1805-2363
pISSN - 1210-2709
DOI - 10.14311/918
Subject(s) - tridiagonal matrix , hermitian matrix , quantum , parametric statistics , mathematics , matrix (chemical analysis) , point (geometry) , pure mathematics , chain (unit) , quantum mechanics , mathematical physics , physics , theoretical physics , eigenvalues and eigenvectors , geometry , chemistry , statistics , chromatography
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.