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Tridiagonal PT-symmetric N-by-N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime

SYSNO ASEP	0092533
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	Tridiagonal PT-symmetric N-by-N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime
Title	Tridiagonal PT-symmetrický N-by-N Hamiltonians
Author(s)	Znojil, Miloslav (UJF-V)_{RID, ORCID, SAI}
Source Title	Journal of Physics A-Mathematical and Theoretical. - : Institute of Physics Publishing - ISSN 1751-8113 Roč. 40, č. 43 (2007), s. 13131-13148
Number of pages	18 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	quantum-mechanics ; pseudo-hermiticity ; anharmonic-oscillators
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)
Annotation	A generic PT-symmetric Hamiltonian is assumed tridiagonalized and truncated to N < infinity dimensions, H -> H-(chain model), and all its up-down symmetrized special cases with J = [N/2] real couplings are considered, H-(chain model) -> H-(N). Using symbolic manipulation and extrapolation techniques we find out that in the strongly non-Hermitian regime the secular equation gets partially factorized at all N. This enables us to reveal a fine-tuned alignment of the dominant couplings implying an asymptotically sharply spiked shape of the boundary of the J-dimensional quasi-Hermiticity domain D-(N) in which all the spectrum of energies E-n((N)) remains real and observable.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2008

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