# Quantum inner-product metrics via the recurrent solution of the Dieudonné equation

@article{Znojil2012QuantumIM,
title={Quantum inner-product metrics via the recurrent solution of the Dieudonn{\'e} equation},
author={M. Znojil},
journal={Journal of Physics A},
year={2012},
volume={45},
pages={085302}
}
• M. Znojil
• Published 2012
• Physics, Mathematics
• Journal of Physics A
• A given Hamiltonian matrix H with a real spectrum is assumed tridiagonal and non-Hermitian, H ? H?. Its possible Hermitizations via an amended, ad hoc inner-product metric ? = ?? > 0 are studied. Under certain reasonable assumptions, all of these metrics ? = ?(H) are shown to be obtainable as recurrent solutions of the hidden Hermiticity constraint H??? = ??H called the Dieudonn? equation. In this framework, even the two-parametric Jacobi-polynomial real and asymmetric N-site lattice H(N… CONTINUE READING