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arXiv · 1101.1015

Cryptohermitian Hamiltonians on graphs. II. Hermitizations

Miloslav Znojil
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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.

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Miloslav Znojil. 2011-01-05. Cryptohermitian Hamiltonians on graphs. II. Hermitizations. https://doi.org/10.1007/s10773-011-0671-8

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