Physics – Quantum Physics
Scientific paper
2011-01-05
Int. J. Theor. Phys., 50 (2011) 1614-1627
Physics
Quantum Physics
25 pp., 2 figs
Scientific paper
10.1007/s10773-011-0671-8
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.
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