Quantum inner-product metrics via recurrent solution of Dieudonne equation
Mathematical Physics
2012-02-10 v1 math.MP
Quantum Physics
Abstract
A given Hamiltonian matrix H with real spectrum is assumed tridiagonal and non-Hermitian. Its possible Hermitizations via an amended, ad hoc inner-product metric are studied. Under certain reasonable assumptions, all of these metrics are shown obtainable as recurrent solutions of the hidden Hermiticity constraint called Dieudonne equation. In this framework even the two-parametric Jacobi-polynomial real- and asymmetric-matrix N-site lattice Hamiltonian is found tractable non-numerically at all N.
Keywords
Cite
@article{arxiv.1201.2263,
title = {Quantum inner-product metrics via recurrent solution of Dieudonne equation},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:1201.2263},
year = {2012}
}
Comments
21 pp