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Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian

SYSNO ASEP	0336848
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian
Title	Kompletní sada vnitřních součinů pro PT-symetrický Hamiltonián s pravoúhlou jámou
Author(s)	Znojil, Miloslav (UJF-V)_{RID, ORCID, SAI}
Source Title	Journal of Mathematical Physics. - : AIP Publishing - ISSN 0022-2488 Roč. 50, č. 12 (2009), 122105/1-122105/19
Number of pages	19 s.
Language	eng - English
Country	US - United States
Keywords	bound states ; Hermitian matrices ; Hilbert spaces
Subject RIV	BE - Theoretical Physics
R&D Projects	LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
	GA202/07/1307 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10480505 - UJF-V (2005-2011)
UT WOS	000273223900006
DOI	10.1063/1.3272002
Annotation	A discrete N-point Runge-Kutta version H-(N)(lambda) of one of the simplest non-Hermitian square-well Hamiltonians with real spectrum is studied. Its possible Hermitizations mediated by nontrivial (often called "non-Dirac") metrics Theta not equal I are considered as a source of nonequivalent standard probabilistic interpretations of this quantum model. A complete set of these alternative, multiparametric metrics Theta=Theta((N))((a,b,...))(lambda) defining all the eligible Hamiltonian-dependent representations of the physical Hilbert space of states is constructed, in closed form, for any coupling lambda is an element of(-1,1) and for any matrix dimension N.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2010

Number of the records: 1