Cryptohermitian Hamiltonians on graphs. II. Hermitizations
Quantum Physics
2012-01-16 v1 Mathematical Physics
math.MP
Abstract
Non-hermitian quantum graphs possessing real (i.e., in principle, observable) spectra are studied via their discretization. The discretized Hamiltonians are assigned, constructively, an elementary pseudometric and/or a more complicated metric. Both these constructions make the Hamiltonian Hermitian, respectively, in an auxiliary (Krein or Pontryagin) vector space or in a less friendly (but more useful) Hilbert space of quantum mechanics.
Keywords
Cite
@article{arxiv.1101.1015,
title = {Cryptohermitian Hamiltonians on graphs. II. Hermitizations},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:1101.1015},
year = {2012}
}
Comments
25 pp., 2 figs