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Cryptohermitian Hamiltonians on Graphs. II. Hermitizations
- 1.0365563 - ÚJF 2013 RIV US eng J - Journal Article
Znojil, Miloslav
Cryptohermitian Hamiltonians on Graphs. II. Hermitizations.
International Journal of Theoretical Physics. Roč. 50, č. 5 (2011), s. 1614-1627. ISSN 0020-7748. E-ISSN 1572-9575
R&D Projects: GA MŠMT LC06002; GA ČR GAP203/11/1433
Institutional research plan: CEZ:AV0Z10480505
Keywords : Quantum graphs * Non-Hermitian interactions * Pseudometrics and metrics
Subject RIV: BE - Theoretical Physics
Impact factor: 0.845, year: 2011
In the second step of our systematic study of non-Hermitian quantum graphs simplified via their discretization and possessing real (i.e., in principle, observable) spectra we show how the related Hamiltonian H may be assigned either a pseudometric P and/or metric Theta. Our two alternative constructions convert the Hamiltonian in question into the operator which becomes Hermitian either in a formal, ad hoc Krein/Pontryagin space and/or in one of available standard quantum-mechanical Hilbert spaces, respectively.
Permanent Link: http://hdl.handle.net/11104/0200781
Number of the records: 1