Tridiagonal PT-symmetric N-by-N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F07%3A00092533" target="_blank" >RIV/61389005:_____/07:00092533 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Tridiagonal PT-symmetric N-by-N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime
Original language description
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.
Czech name
Tridiagonal PT-symmetrický N-by-N Hamiltonians
Czech description
Tridiagonal PT-symmetrický N-by-N Hamiltonians.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Physics A-Mathematical and Theoretical
ISSN
1751-8113
e-ISSN
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Volume of the periodical
40
Issue of the periodical within the volume
43
Country of publishing house
GB - UNITED KINGDOM
Number of pages
18
Pages from-to
13131-13148
UT code for WoS article
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EID of the result in the Scopus database
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