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Cryptohermitian Hamiltonians on Graphs. II. Hermitizations

SYSNO ASEP	0365563
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Cryptohermitian Hamiltonians on Graphs. II. Hermitizations
Author(s)	Znojil, Miloslav (UJF-V)_{RID, ORCID, SAI}
Source Title	International Journal of Theoretical Physics - ISSN 0020-7748 Roč. 50, č. 5 (2011), s. 1614-1627
Number of pages	14 s.
Language	eng - English
Country	US - United States
Keywords	Quantum graphs ; Non-Hermitian interactions ; Pseudometrics and metrics
Subject RIV	BE - Theoretical Physics
R&D Projects	LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
	GAP203/11/1433 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10480505 - UJF-V (2005-2011)
UT WOS	000288804600027
DOI	10.1007/s10773-011-0671-8
Annotation	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.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2013

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