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

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